105601101005600 has 36 divisors (see below), whose sum is σ = 257798687831874. Its totient is φ = 42240440401920.

The previous prime is 105601101005527. The next prime is 105601101005683. The reversal of 105601101005600 is 6500101106501.

It can be written as a sum of positive squares in 3 ways, for example, as 68214186419344 + 37386914586256 = 8259188^2 + 6114484^2 .

It is a super-2 number, since 2×105601101005600² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105601101005600.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 66000687329 + ... + 66000688928.

Almost surely, 2^{105601101005600} is an apocalyptic number.

105601101005600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105601101005600 is an abundant number, since it is smaller than the sum of its proper divisors (152197586826274).

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

105601101005600 is a wasteful number, since it uses less digits than its factorization.

105601101005600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132001376277 (or 132001376264 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 26.

The spelling of 105601101005600 in words is "one hundred five trillion, six hundred one billion, one hundred one million, five thousand, six hundred".