105724863 has 6 divisors (see below), whose sum is σ = 152713704. Its totient is φ = 70483236.

The previous prime is 105724847. The next prime is 105724901. The reversal of 105724863 is 368427501.

105724863 is a `hidden beast` number, since 1 + 0 + 572 + 4 + 86 + 3 = 666.

It is not a de Polignac number, because 105724863 - 2⁴ = 105724847 is a prime.

It is a super-2 number, since 2×105724863² = 22355493312737538, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105724823) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5873595 + ... + 5873612.

It is an arithmetic number, because the mean of its divisors is an integer number (25452284).

Almost surely, 2^105724863 is an apocalyptic number.

105724863 is a deficient number, since it is larger than the sum of its proper divisors (46988841).

105724863 is a wasteful number, since it uses less digits than its factorization.

105724863 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11747213 (or 11747210 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The square root of 105724863 is about 10282.2596251991. The cubic root of 105724863 is about 472.8525226808.

The spelling of 105724863 in words is "one hundred five million, seven hundred twenty-four thousand, eight hundred sixty-three".