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105000552240 = 2435974510333
BaseRepresentation
bin110000111001010000…
…1010100011100110000
3101001000200001201100020
41201302201110130300
53210020120132430
6120123034123440
710405003653003
oct1416241243460
9331020051306
10105000552240
1140592090001
1218424580580
139b948027ac
14512122753a
152ae824eb10
hex1872854730

105000552240 has 80 divisors (see below), whose sum is σ = 328857472608. Its totient is φ = 27711479808.

The previous prime is 105000552227. The next prime is 105000552253. The reversal of 105000552240 is 42255000501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (105000552227) and next prime (105000552253).

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1050005522402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 105000552240.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2231887 + ... + 2278446.

Almost surely, 2105000552240 is an apocalyptic number.

105000552240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105000552240 is an abundant number, since it is smaller than the sum of its proper divisors (223856920368).

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

105000552240 is a wasteful number, since it uses less digits than its factorization.

105000552240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4510446 (or 4510440 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 24.

Adding to 105000552240 its reverse (42255000501), we get a palindrome (147255552741).

The spelling of 105000552240 in words is "one hundred five billion, five hundred fifty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 97 120 194 240 291 388 485 582 776 970 1164 1455 1552 1940 2328 2910 3880 4656 5820 7760 11640 23280 4510333 9020666 13530999 18041332 22551665 27061998 36082664 45103330 54123996 67654995 72165328 90206660 108247992 135309990 180413320 216495984 270619980 360826640 437502301 541239960 875004602 1082479920 1312506903 1750009204 2187511505 2625013806 3500018408 4375023010 5250027612 6562534515 7000036816 8750046020 10500055224 13125069030 17500092040 21000110448 26250138060 35000184080 52500276120 105000552240