100806510966 has 36 divisors (see below), whose sum is σ = 234542099988. Its totient is φ = 28800304848.

The previous prime is 100806510953. The next prime is 100806511021. The reversal of 100806510966 is 669015608001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

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 17 ways as a sum of consecutive naturals, for example, 5434740 + ... + 5453256.

It is an arithmetic number, because the mean of its divisors is an integer number (6515058333).

Almost surely, 2^100806510966 is an apocalyptic number.

100806510966 is an abundant number, since it is smaller than the sum of its proper divisors (133735589022).

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

100806510966 is an frugal number, since it uses more digits than its factorization.

100806510966 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37053 (or 18529 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 42.

The spelling of 100806510966 in words is "one hundred billion, eight hundred six million, five hundred ten thousand, nine hundred sixty-six".