105525711863 has 16 divisors (see below), whose sum is σ = 124091068416. Its totient is φ = 88469612640.

The previous prime is 105525711857. The next prime is 105525711869. The reversal of 105525711863 is 368117525501.

It is an interprime number because it is at equal distance from previous prime (105525711857) and next prime (105525711869).

It is a cyclic number.

It is not a de Polignac number, because 105525711863 - 2²⁰ = 105524663287 is a prime.

It is a super-2 number, since 2×105525711863² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (44) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105525711869) 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, 195095 + ... + 499112.

It is an arithmetic number, because the mean of its divisors is an integer number (7755691776).

Almost surely, 2^105525711863 is an apocalyptic number.

105525711863 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

105525711863 is a deficient number, since it is larger than the sum of its proper divisors (18565356553).

105525711863 is a wasteful number, since it uses less digits than its factorization.

105525711863 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695294.

The product of its (nonzero) digits is 252000, while the sum is 44.

The spelling of 105525711863 in words is "one hundred five billion, five hundred twenty-five million, seven hundred eleven thousand, eight hundred sixty-three".