105992496513 has 32 divisors (see below), whose sum is σ = 159127584000. Its totient is φ = 69722208000.

The previous prime is 105992496437. The next prime is 105992496523. The reversal of 105992496513 is 315694299501.

105992496513 is a `hidden beast` number, since 1 + 0 + 59 + 92 + 496 + 5 + 13 = 666.

It is not a de Polignac number, because 105992496513 - 2¹⁴ = 105992480129 is a prime.

It is a super-2 number, since 2×105992496513² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105992496513.

It is not an unprimeable number, because it can be changed into a prime (105992496523) 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, 520233 + ... + 694713.

It is an arithmetic number, because the mean of its divisors is an integer number (4972737000).

Almost surely, 2^105992496513 is an apocalyptic number.

It is an amenable number.

105992496513 is a deficient number, since it is larger than the sum of its proper divisors (53135087487).

105992496513 is a wasteful number, since it uses less digits than its factorization.

105992496513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174790 (or 174784 counting only the distinct ones).

The product of its (nonzero) digits is 2624400, while the sum is 54.

The spelling of 105992496513 in words is "one hundred five billion, nine hundred ninety-two million, four hundred ninety-six thousand, five hundred thirteen".