105388644192 has 48 divisors (see below), whose sum is σ = 297925593840. Its totient is φ = 32427274752.

The previous prime is 105388644169. The next prime is 105388644211. The reversal of 105388644192 is 291446883501.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×105388644192² (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 7 ways as a sum of consecutive naturals, for example, 42221767 + ... + 42224262.

It is an arithmetic number, because the mean of its divisors is an integer number (6206783205).

Almost surely, 2^105388644192 is an apocalyptic number.

105388644192 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105388644192 is an abundant number, since it is smaller than the sum of its proper divisors (192536949648).

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

105388644192 is a wasteful number, since it uses less digits than its factorization.

105388644192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84446055 (or 84446047 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 51.

The spelling of 105388644192 in words is "one hundred five billion, three hundred eighty-eight million, six hundred forty-four thousand, one hundred ninety-two".