105364838196 has 36 divisors (see below), whose sum is σ = 272005685952. Its totient is φ = 34374343824.

The previous prime is 105364838171. The next prime is 105364838221. The reversal of 105364838196 is 691838463501.

105364838196 is a `hidden beast` number, since 10 + 5 + 364 + 83 + 8 + 196 = 666.

It is an interprime number because it is at equal distance from previous prime (105364838171) and next prime (105364838221).

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×105364838196² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 31134490 + ... + 31137873.

Almost surely, 2^105364838196 is an apocalyptic number.

It is an amenable number.

105364838196 is an abundant number, since it is smaller than the sum of its proper divisors (166640847756).

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

105364838196 is a wasteful number, since it uses less digits than its factorization.

105364838196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62272420 (or 62272415 counting only the distinct ones).

The product of its (nonzero) digits is 3732480, while the sum is 54.

The spelling of 105364838196 in words is "one hundred five billion, three hundred sixty-four million, eight hundred thirty-eight thousand, one hundred ninety-six".