105706931364 has 144 divisors (see below), whose sum is σ = 279697017600. Its totient is φ = 34907016096.

The previous prime is 105706931339. The next prime is 105706931389. The reversal of 105706931364 is 463139607501.

It is a happy number.

105706931364 is a `hidden beast` number, since 1 + 0 + 570 + 6 + 9 + 3 + 13 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (105706931339) and next prime (105706931389).

It is a super-2 number, since 2×105706931364² (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 47 ways as a sum of consecutive naturals, for example, 53413327 + ... + 53415305.

It is an arithmetic number, because the mean of its divisors is an integer number (1942340400).

Almost surely, 2^105706931364 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105706931364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139848508800).

105706931364 is an abundant number, since it is smaller than the sum of its proper divisors (173990086236).

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

105706931364 is a wasteful number, since it uses less digits than its factorization.

105706931364 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2484 (or 2470 counting only the distinct ones).

The product of its (nonzero) digits is 408240, while the sum is 45.

The spelling of 105706931364 in words is "one hundred five billion, seven hundred six million, nine hundred thirty-one thousand, three hundred sixty-four".