10105511100 has 72 divisors (see below), whose sum is σ = 30246866160. Its totient is φ = 2601876480.

The previous prime is 10105511083. The next prime is 10105511111. The reversal of 10105511100 is 111550101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10105511100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 572077 + ... + 589476.

Almost surely, 2^10105511100 is an apocalyptic number.

10105511100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10105511100 is an abundant number, since it is smaller than the sum of its proper divisors (20141355060).

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

10105511100 is a wasteful number, since it uses less digits than its factorization.

10105511100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1161599 (or 1161592 counting only the distinct ones).

The product of its (nonzero) digits is 25, while the sum is 15.

The spelling of 10105511100 in words is "ten billion, one hundred five million, five hundred eleven thousand, one hundred".