105713458801 has 16 divisors (see below), whose sum is σ = 114527563200. Its totient is φ = 97208460288.

The previous prime is 105713458793. The next prime is 105713458811. The reversal of 105713458801 is 108854317501.

It is a cyclic number.

It is not a de Polignac number, because 105713458801 - 2³ = 105713458793 is a prime.

It is a super-2 number, since 2×105713458801² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105713458811) 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, 159816 + ... + 486793.

It is an arithmetic number, because the mean of its divisors is an integer number (7157972700).

Almost surely, 2^105713458801 is an apocalyptic number.

It is an amenable number.

105713458801 is a deficient number, since it is larger than the sum of its proper divisors (8814104399).

105713458801 is a wasteful number, since it uses less digits than its factorization.

105713458801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 646848.

The product of its (nonzero) digits is 134400, while the sum is 43.

The spelling of 105713458801 in words is "one hundred five billion, seven hundred thirteen million, four hundred fifty-eight thousand, eight hundred one".