105386791374 has 48 divisors (see below), whose sum is σ = 244682644752. Its totient is φ = 32664171264.

The previous prime is 105386791331. The next prime is 105386791409. The reversal of 105386791374 is 473197683501.

105386791374 is a `hidden beast` number, since 1 + 0 + 538 + 6 + 79 + 1 + 37 + 4 = 666.

It is a super-2 number, since 2×105386791374² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105386791374.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2049309 + ... + 2100104.

It is an arithmetic number, because the mean of its divisors is an integer number (5097555099).

Almost surely, 2^105386791374 is an apocalyptic number.

105386791374 is an abundant number, since it is smaller than the sum of its proper divisors (139295853378).

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

105386791374 is a wasteful number, since it uses less digits than its factorization.

105386791374 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4149521 (or 4149518 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 105386791374 in words is "one hundred five billion, three hundred eighty-six million, seven hundred ninety-one thousand, three hundred seventy-four".