105380744374566 has 24 divisors (see below), whose sum is σ = 228325957774200. Its totient is φ = 35126759156256.

The previous prime is 105380744374559. The next prime is 105380744374589. The reversal of 105380744374566 is 665473447083501.

105380744374566 is a `hidden beast` number, since 1 + 0 + 5 + 3 + 80 + 74 + 4 + 37 + 456 + 6 = 666.

It is a super-2 number, since 2×105380744374566² (a number of 29 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, 8757175 + ... + 16954338.

It is an arithmetic number, because the mean of its divisors is an integer number (9513581573925).

Almost surely, 2^{105380744374566} is an apocalyptic number.

105380744374566 is an abundant number, since it is smaller than the sum of its proper divisors (122945213399634).

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

105380744374566 is a wasteful number, since it uses less digits than its factorization.

105380744374566 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25939220 (or 25939217 counting only the distinct ones).

The product of its (nonzero) digits is 203212800, while the sum is 63.

The spelling of 105380744374566 in words is "one hundred five trillion, three hundred eighty billion, seven hundred forty-four million, three hundred seventy-four thousand, five hundred sixty-six".