105721955513 has 16 divisors (see below), whose sum is σ = 109657238400. Its totient is φ = 101844521856.

The previous prime is 105721955501. The next prime is 105721955519. The reversal of 105721955513 is 315559127501.

It is a cyclic number.

It is not a de Polignac number, because 105721955513 - 2⁸ = 105721955257 is a prime.

It is a super-2 number, since 2×105721955513² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105721955519) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7883588 + ... + 7896986.

It is an arithmetic number, because the mean of its divisors is an integer number (6853577400).

Almost surely, 2^105721955513 is an apocalyptic number.

It is an amenable number.

105721955513 is a deficient number, since it is larger than the sum of its proper divisors (3935282887).

105721955513 is a wasteful number, since it uses less digits than its factorization.

105721955513 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15536.

The product of its (nonzero) digits is 236250, while the sum is 44.

The spelling of 105721955513 in words is "one hundred five billion, seven hundred twenty-one million, nine hundred fifty-five thousand, five hundred thirteen".