105313731456 has 64 divisors (see below), whose sum is σ = 281455960320. Its totient is φ = 34889190912.

The previous prime is 105313731437. The next prime is 105313731473. The reversal of 105313731456 is 654137313501.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×105313731456² (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, 778680 + ... + 903863.

It is an arithmetic number, because the mean of its divisors is an integer number (4397749380).

Almost surely, 2^105313731456 is an apocalyptic number.

105313731456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105313731456 is an abundant number, since it is smaller than the sum of its proper divisors (176142228864).

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

105313731456 is a wasteful number, since it uses less digits than its factorization.

105313731456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1682723 (or 1682711 counting only the distinct ones).

The product of its (nonzero) digits is 113400, while the sum is 39.

The spelling of 105313731456 in words is "one hundred five billion, three hundred thirteen million, seven hundred thirty-one thousand, four hundred fifty-six".