105938232316900 has 27 divisors (see below), whose sum is σ = 229886187477961. Its totient is φ = 42375251756240.

The previous prime is 105938232316877. The next prime is 105938232316933. The reversal of 105938232316900 is 9613232839501.

The square root of 105938232316900 is 10292630.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 38137763634084 + 67800468682816 = 6175578^2 + 8234104^2 .

It is a super-2 number, since 2×105938232316900² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 102411669 + ... + 103440931.

Almost surely, 2^{105938232316900} is an apocalyptic number.

105938232316900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105938232316900 is the 10292630-th square number.

It is an amenable number.

105938232316900 is an abundant number, since it is smaller than the sum of its proper divisors (123947955161061).

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

105938232316900 is an frugal number, since it uses more digits than its factorization.

105938232316900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2058540 (or 1029270 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 52.

The spelling of 105938232316900 in words is "one hundred five trillion, nine hundred thirty-eight billion, two hundred thirty-two million, three hundred sixteen thousand, nine hundred".