105715072 has 32 divisors (see below), whose sum is σ = 214591680. Its totient is φ = 51856896.

The previous prime is 105715039. The next prime is 105715087. The reversal of 105715072 is 270517501.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×105715072² = 22351352895930368, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105715072.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1008 + ... + 14575.

It is an arithmetic number, because the mean of its divisors is an integer number (6705990).

Almost surely, 2^105715072 is an apocalyptic number.

It is an amenable number.

105715072 is an abundant number, since it is smaller than the sum of its proper divisors (108876608).

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

105715072 is an equidigital number, since it uses as much as digits as its factorization.

105715072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15650 (or 15638 counting only the distinct ones).

The product of its (nonzero) digits is 2450, while the sum is 28.

The square root of 105715072 is about 10281.7835028754. The cubic root of 105715072 is about 472.8379255405.

It can be divided in two parts, 1057 and 15072, that added together give a square (16129 = 127²).

The spelling of 105715072 in words is "one hundred five million, seven hundred fifteen thousand, seventy-two".