105713570127 has 32 divisors (see below), whose sum is σ = 155303101440. Its totient is φ = 63431150720.

The previous prime is 105713570113. The next prime is 105713570141. The reversal of 105713570127 is 721075317501.

It is an interprime number because it is at equal distance from previous prime (105713570113) and next prime (105713570141).

It is a cyclic number.

It is not a de Polignac number, because 105713570127 - 2²² = 105709375823 is a prime.

It is a super-2 number, since 2×105713570127² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105713570107) 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, 1325713 + ... + 1403189.

It is an arithmetic number, because the mean of its divisors is an integer number (4853221920).

Almost surely, 2^105713570127 is an apocalyptic number.

105713570127 is a deficient number, since it is larger than the sum of its proper divisors (49589531313).

105713570127 is a wasteful number, since it uses less digits than its factorization.

105713570127 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77903.

The product of its (nonzero) digits is 51450, while the sum is 39.

Adding to 105713570127 its reverse (721075317501), we get a palindrome (826788887628).

The spelling of 105713570127 in words is "one hundred five billion, seven hundred thirteen million, five hundred seventy thousand, one hundred twenty-seven".