105664116510525 has 96 divisors (see below), whose sum is σ = 186797251675008. Its totient is φ = 52517049753600.

The previous prime is 105664116510521. The next prime is 105664116510527. The reversal of 105664116510525 is 525015611466501.

It is not a de Polignac number, because 105664116510525 - 2² = 105664116510521 is a prime.

It is a super-2 number, since 2×105664116510525² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105664116510521) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 271700715 + ... + 272089335.

It is an arithmetic number, because the mean of its divisors is an integer number (1945804704948).

Almost surely, 2^{105664116510525} is an apocalyptic number.

105664116510525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105664116510525 is a deficient number, since it is larger than the sum of its proper divisors (81133135164483).

105664116510525 is a wasteful number, since it uses less digits than its factorization.

105664116510525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390751 (or 390746 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 48.

The spelling of 105664116510525 in words is "one hundred five trillion, six hundred sixty-four billion, one hundred sixteen million, five hundred ten thousand, five hundred twenty-five".