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104521144400 = 24522635211907
BaseRepresentation
bin110000101010111110…
…0100001100001010000
3100222210020222021102022
41201111330201201100
53203024403110100
6120003310511012
710360063032341
oct1412574414120
9328706867368
10104521144400
1140366508882
121830bb05468
139b193aa50a
1450b76b20c8
152abb102e85
hex1855f21850

104521144400 has 120 divisors (see below), whose sum is σ = 252683095104. Its totient is φ = 41547750400.

The previous prime is 104521144393. The next prime is 104521144423. The reversal of 104521144400 is 4441125401.

It is a self number, because there is not a number n which added to its sum of digits gives 104521144400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 54808247 + ... + 54810153.

Almost surely, 2104521144400 is an apocalyptic number.

104521144400 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 104521144400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126341547552).

104521144400 is an abundant number, since it is smaller than the sum of its proper divisors (148161950704).

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

104521144400 is a wasteful number, since it uses less digits than its factorization.

104521144400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2709 (or 2698 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 26.

Adding to 104521144400 its reverse (4441125401), we get a palindrome (108962269801).

The spelling of 104521144400 in words is "one hundred four billion, five hundred twenty-one million, one hundred forty-four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 263 400 521 526 1042 1052 1315 1907 2084 2104 2605 2630 3814 4168 4208 5210 5260 6575 7628 8336 9535 10420 10520 13025 13150 15256 19070 20840 21040 26050 26300 30512 38140 41680 47675 52100 52600 76280 95350 104200 105200 137023 152560 190700 208400 274046 381400 501541 548092 685115 762800 993547 1003082 1096184 1370230 1987094 2006164 2192368 2507705 2740460 3425575 3974188 4012328 4967735 5015410 5480920 6851150 7948376 8024656 9935470 10030820 10961840 12538525 13702300 15896752 19870940 20061640 24838675 25077050 27404600 39741880 40123280 49677350 50154100 54809200 79483760 99354700 100308200 198709400 200616400 261302861 397418800 522605722 1045211444 1306514305 2090422888 2613028610 4180845776 5226057220 6532571525 10452114440 13065143050 20904228880 26130286100 52260572200 104521144400