100029282920 has 64 divisors (see below), whose sum is σ = 258551032320. Its totient is φ = 34118037504.

The previous prime is 100029282917. The next prime is 100029282949. The reversal of 100029282920 is 29282920001.

It is a Harshad number since it is a multiple of its sum of digits (35).

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 15 ways as a sum of consecutive naturals, for example, 871472 + ... + 979551.

It is an arithmetic number, because the mean of its divisors is an integer number (4039859880).

Almost surely, 2^100029282920 is an apocalyptic number.

100029282920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100029282920 is an abundant number, since it is smaller than the sum of its proper divisors (158521749400).

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

100029282920 is a wasteful number, since it uses less digits than its factorization.

100029282920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1851234 (or 1851230 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 35.

The spelling of 100029282920 in words is "one hundred billion, twenty-nine million, two hundred eighty-two thousand, nine hundred twenty".