100105500510 has 64 divisors (see below), whose sum is σ = 267236020800. Its totient is φ = 26665998336.

The previous prime is 100105500503. The next prime is 100105500589. The reversal of 100105500510 is 15005501001.

100105500510 is a `hidden beast` number, since 1 + 0 + 0 + 105 + 50 + 0 + 510 = 666.

It is a super-2 number, since 2×100105500510² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51282 + ... + 450378.

It is an arithmetic number, because the mean of its divisors is an integer number (4175562825).

Almost surely, 2^100105500510 is an apocalyptic number.

100105500510 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100105500510 is an abundant number, since it is smaller than the sum of its proper divisors (167130520290).

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

100105500510 is a wasteful number, since it uses less digits than its factorization.

100105500510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400042 (or 400036 counting only the distinct ones).

The product of its (nonzero) digits is 125, while the sum is 18.

The spelling of 100105500510 in words is "one hundred billion, one hundred five million, five hundred thousand, five hundred ten".