105501010005631 has 16 divisors (see below), whose sum is σ = 109035832006080. Its totient is φ = 102012066938880.

The previous prime is 105501010005607. The next prime is 105501010005659. The reversal of 105501010005631 is 136500010105501.

It is a cyclic number.

It is not a de Polignac number, because 105501010005631 - 2¹⁵ = 105501009972863 is a prime.

It is a super-2 number, since 2×105501010005631² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105501010005631.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105501010305631) 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, 98208910 + ... + 99277348.

It is an arithmetic number, because the mean of its divisors is an integer number (6814739500380).

Almost surely, 2^{105501010005631} is an apocalyptic number.

105501010005631 is a deficient number, since it is larger than the sum of its proper divisors (3534822000449).

105501010005631 is a wasteful number, since it uses less digits than its factorization.

105501010005631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1089906.

The product of its (nonzero) digits is 2250, while the sum is 28.

The spelling of 105501010005631 in words is "one hundred five trillion, five hundred one billion, ten million, five thousand, six hundred thirty-one".