105992013 has 32 divisors (see below), whose sum is σ = 158140800. Its totient is φ = 62850816.

The previous prime is 105991999. The next prime is 105992017. The reversal of 105992013 is 310299501.

It is not a de Polignac number, because 105992013 - 2⁸ = 105991757 is a prime.

It is a super-2 number, since 2×105992013² = 22468613639584338, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105992017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 60295 + ... + 62027.

It is an arithmetic number, because the mean of its divisors is an integer number (4941900).

Almost surely, 2^105992013 is an apocalyptic number.

It is an amenable number.

105992013 is a deficient number, since it is larger than the sum of its proper divisors (52148787).

105992013 is a wasteful number, since it uses less digits than its factorization.

105992013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1821.

The product of its (nonzero) digits is 2430, while the sum is 30.

The square root of 105992013 is about 10295.2422506709. The cubic root of 105992013 is about 473.2504621939.

The spelling of 105992013 in words is "one hundred five million, nine hundred ninety-two thousand, thirteen".