105724496 has 20 divisors (see below), whose sum is σ = 216891252. Its totient is φ = 49752576.

The previous prime is 105724483. The next prime is 105724511. The reversal of 105724496 is 694427501.

It can be written as a sum of positive squares in 2 ways, for example, as 31764496 + 73960000 = 5636^2 + 8600^2 .

It is a super-2 number, since 2×105724496² = 22355338108908032, which 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 3 ways as a sum of consecutive naturals, for example, 194075 + ... + 194618.

Almost surely, 2^105724496 is an apocalyptic number.

105724496 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105724496 is an abundant number, since it is smaller than the sum of its proper divisors (111166756).

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

105724496 is a wasteful number, since it uses less digits than its factorization.

105724496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388718 (or 388712 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 38.

The square root of 105724496 is about 10282.2417789118. The cubic root of 105724496 is about 472.8519755466.

The spelling of 105724496 in words is "one hundred five million, seven hundred twenty-four thousand, four hundred ninety-six".