105377800938 has 32 divisors (see below), whose sum is σ = 218553219456. Its totient is φ = 33844765248.

The previous prime is 105377800903. The next prime is 105377800963. The reversal of 105377800938 is 839008773501.

It is a super-2 number, since 2×105377800938² (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, 2281381 + ... + 2327112.

It is an arithmetic number, because the mean of its divisors is an integer number (6829788108).

Almost surely, 2^105377800938 is an apocalyptic number.

105377800938 is an abundant number, since it is smaller than the sum of its proper divisors (113175418518).

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

105377800938 is a wasteful number, since it uses less digits than its factorization.

105377800938 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4608638.

The product of its (nonzero) digits is 1270080, while the sum is 51.

The spelling of 105377800938 in words is "one hundred five billion, three hundred seventy-seven million, eight hundred thousand, nine hundred thirty-eight".