100105500550536 has 72 divisors (see below), whose sum is σ = 293578631457930. Its totient is φ = 30801692473344.

The previous prime is 100105500550463. The next prime is 100105500550541. The reversal of 100105500550536 is 635055005501001.

100105500550536 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 0 + 5 + 50 + 0 + 550 + 53 + 6 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 45001691388900 + 55103809161636 = 6708330^2 + 7423194^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×100105500550536² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 100105500550536.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 4113461721 + ... + 4113486056.

Almost surely, 2^{100105500550536} is an apocalyptic number.

It is an amenable number.

100105500550536 is an abundant number, since it is smaller than the sum of its proper divisors (193473130907394).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

100105500550536 is a wasteful number, since it uses less digits than its factorization.

100105500550536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8226947815 (or 8226947795 counting only the distinct ones).

The product of its (nonzero) digits is 56250, while the sum is 36.

The spelling of 100105500550536 in words is "one hundred trillion, one hundred five billion, five hundred million, five hundred fifty thousand, five hundred thirty-six".