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105621442660 = 22543612013371
BaseRepresentation
bin110001001011110000…
…1110101000001100100
3101002121221101012212201
41202113201311001210
53212303042131120
6120304414024244
710426253310106
oct1422741650144
9332557335781
10105621442660
1140880607188
12185784a8084
139c63333b86
14517d88b576
152b329e740a
hex1897875064

105621442660 has 48 divisors (see below), whose sum is σ = 230684110272. Its totient is φ = 40589539200.

The previous prime is 105621442657. The next prime is 105621442711. The reversal of 105621442660 is 66244126501.

It is a super-2 number, since 2×1056214426602 (a number of 23 digits) contains 22 as substring.

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, 954226 + ... + 1059145.

It is an arithmetic number, because the mean of its divisors is an integer number (4805918964).

Almost surely, 2105621442660 is an apocalyptic number.

105621442660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105621442660 is an abundant number, since it is smaller than the sum of its proper divisors (125062667612).

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

105621442660 is a wasteful number, since it uses less digits than its factorization.

105621442660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2013484 (or 2013482 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The spelling of 105621442660 in words is "one hundred five billion, six hundred twenty-one million, four hundred forty-two thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 43 61 86 122 172 215 244 305 430 610 860 1220 2623 5246 10492 13115 26230 52460 2013371 4026742 8053484 10066855 20133710 40267420 86574953 122815631 173149906 245631262 346299812 432874765 491262524 614078155 865749530 1228156310 1731499060 2456312620 5281072133 10562144266 21124288532 26405360665 52810721330 105621442660