105131836815 has 128 divisors (see below), whose sum is σ = 185405718528. Its totient is φ = 50654085120.

The previous prime is 105131836813. The next prime is 105131836829. The reversal of 105131836815 is 518638131501.

It is a happy number.

It is not a de Polignac number, because 105131836815 - 2¹ = 105131836813 is a prime.

It is a super-2 number, since 2×105131836815² (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 (105131836813) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 409073167 + ... + 409073423.

It is an arithmetic number, because the mean of its divisors is an integer number (1448482176).

Almost surely, 2^105131836815 is an apocalyptic number.

105131836815 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105131836815 is a deficient number, since it is larger than the sum of its proper divisors (80273881713).

105131836815 is a wasteful number, since it uses less digits than its factorization.

105131836815 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 737.

The product of its (nonzero) digits is 86400, while the sum is 42.

The spelling of 105131836815 in words is "one hundred five billion, one hundred thirty-one million, eight hundred thirty-six thousand, eight hundred fifteen".