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104552542100 = 22522361799433
BaseRepresentation
bin110000101011111010…
…0010010111110010100
3100222212110001102222002
41201113310102332110
53203110422321400
6120010351454432
710360623641666
oct1412764227624
9328773042862
10104552542100
1140382203396
121831a527418
139b22a51736
1450bb926536
152abdc55ed5
hex1857d12f94

104552542100 has 144 divisors (see below), whose sum is σ = 243696069120. Its totient is φ = 38844748800.

The previous prime is 104552542093. The next prime is 104552542103. The reversal of 104552542100 is 1245255401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104552542103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11078984 + ... + 11088416.

Almost surely, 2104552542100 is an apocalyptic number.

104552542100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104552542100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121848034560).

104552542100 is an abundant number, since it is smaller than the sum of its proper divisors (139143527020).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

104552542100 is a wasteful number, since it uses less digits than its factorization.

104552542100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9610 (or 9603 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 29.

Adding to 104552542100 its reverse (1245255401), we get a palindrome (105797797501).

The spelling of 104552542100 in words is "one hundred four billion, five hundred fifty-two million, five hundred forty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 61 79 92 100 115 122 158 230 244 305 316 395 460 575 610 790 1150 1220 1403 1525 1580 1817 1975 2300 2806 3050 3634 3950 4819 5612 6100 7015 7268 7900 9085 9433 9638 14030 18170 18866 19276 24095 28060 35075 36340 37732 45425 47165 48190 70150 90850 94330 96380 110837 120475 140300 181700 188660 216959 221674 235825 240950 433918 443348 471650 481900 554185 575413 745207 867836 943300 1084795 1108370 1150826 1490414 2169590 2216740 2301652 2770925 2877065 2980828 3726035 4339180 5423975 5541850 5754130 7452070 10847950 11083700 11508260 13234499 14385325 14904140 17139761 18630175 21695900 26468998 28770650 34279522 37260350 45457627 52937996 57541300 66172495 68559044 74520700 85698805 90915254 132344990 171397610 181830508 227288135 264689980 330862475 342795220 428494025 454576270 661724950 856988050 909152540 1045525421 1136440675 1323449900 1713976100 2091050842 2272881350 4182101684 4545762700 5227627105 10455254210 20910508420 26138135525 52276271050 104552542100