105545135116631 has 12 divisors (see below), whose sum is σ = 122785474396320. Its totient is φ = 90461009892960.

The previous prime is 105545135116573. The next prime is 105545135116669. The reversal of 105545135116631 is 136611531545501.

It is not a de Polignac number, because 105545135116631 - 2¹⁴ = 105545135100247 is a prime.

It is a super-2 number, since 2×105545135116631² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105545135016631) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73673510 + ... + 75092451.

It is an arithmetic number, because the mean of its divisors is an integer number (10232122866360).

Almost surely, 2^{105545135116631} is an apocalyptic number.

105545135116631 is a deficient number, since it is larger than the sum of its proper divisors (17240339279689).

105545135116631 is a wasteful number, since it uses less digits than its factorization.

105545135116631 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148780454 (or 148780447 counting only the distinct ones).

The product of its (nonzero) digits is 810000, while the sum is 47.

The spelling of 105545135116631 in words is "one hundred five trillion, five hundred forty-five billion, one hundred thirty-five million, one hundred sixteen thousand, six hundred thirty-one".