105721504 has 48 divisors (see below), whose sum is σ = 251875008. Its totient is φ = 42642432.

The previous prime is 105721489. The next prime is 105721519. The reversal of 105721504 is 405127501.

It is an interprime number because it is at equal distance from previous prime (105721489) and next prime (105721519).

It is a super-2 number, since 2×105721504² = 22354072816044032, which contains 22 as substring.

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, 10074 + ... + 17689.

It is an arithmetic number, because the mean of its divisors is an integer number (5247396).

Almost surely, 2^105721504 is an apocalyptic number.

105721504 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

105721504 is an abundant number, since it is smaller than the sum of its proper divisors (146153504).

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

105721504 is a wasteful number, since it uses less digits than its factorization.

105721504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27797 (or 27789 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 25.

The square root of 105721504 is about 10282.0962843187. The cubic root of 105721504 is about 472.8475149390.

The spelling of 105721504 in words is "one hundred five million, seven hundred twenty-one thousand, five hundred four".