105356006600 has 48 divisors (see below), whose sum is σ = 263795238420. Its totient is φ = 38900678400.

The previous prime is 105356006599. The next prime is 105356006611. The reversal of 105356006600 is 6600653501.

It can be written as a sum of positive squares in 6 ways, for example, as 52149203044 + 53206803556 = 228362^2 + 230666^2 .

It is a super-2 number, since 2×105356006600² (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 11 ways as a sum of consecutive naturals, for example, 20258171 + ... + 20263370.

Almost surely, 2^105356006600 is an apocalyptic number.

105356006600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105356006600 is an abundant number, since it is smaller than the sum of its proper divisors (158439231820).

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

105356006600 is a wasteful number, since it uses less digits than its factorization.

105356006600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40521570 (or 40521561 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 32.

The spelling of 105356006600 in words is "one hundred five billion, three hundred fifty-six million, six thousand, six hundred".