105431076872 has 32 divisors (see below), whose sum is σ = 225030761280. Its totient is φ = 45839597760.

The previous prime is 105431076859. The next prime is 105431076899. The reversal of 105431076872 is 278670134501.

It is a super-2 number, since 2×105431076872² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

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, 26043203 + ... + 26047250.

It is an arithmetic number, because the mean of its divisors is an integer number (7032211290).

Almost surely, 2^105431076872 is an apocalyptic number.

It is an amenable number.

105431076872 is an abundant number, since it is smaller than the sum of its proper divisors (119599684408).

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

105431076872 is a wasteful number, since it uses less digits than its factorization.

105431076872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52090493 (or 52090489 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 44.

The spelling of 105431076872 in words is "one hundred five billion, four hundred thirty-one million, seventy-six thousand, eight hundred seventy-two".