105720813 has 24 divisors (see below), whose sum is σ = 170142336. Its totient is φ = 62707200.

The previous prime is 105720809. The next prime is 105720821. The reversal of 105720813 is 318027501.

105720813 is a `hidden beast` number, since 10 + 572 + 0 + 81 + 3 = 666.

It is not a de Polignac number, because 105720813 - 2² = 105720809 is a prime.

It is a super-2 number, since 2×105720813² = 22353780602761938, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105720113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6708 + ... + 16013.

It is an arithmetic number, because the mean of its divisors is an integer number (7089264).

Almost surely, 2^105720813 is an apocalyptic number.

It is an amenable number.

105720813 is a deficient number, since it is larger than the sum of its proper divisors (64421523).

105720813 is a wasteful number, since it uses less digits than its factorization.

105720813 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22785 (or 22782 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 105720813 is about 10282.0626821665. The cubic root of 105720813 is about 472.8464847533.

The spelling of 105720813 in words is "one hundred five million, seven hundred twenty thousand, eight hundred thirteen".