100918382010 has 64 divisors (see below), whose sum is σ = 255617925120. Its totient is φ = 25428548160.

The previous prime is 100918381981. The next prime is 100918382023. The reversal of 100918382010 is 10283819001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12826 + ... + 449445.

It is an arithmetic number, because the mean of its divisors is an integer number (3994030080).

Almost surely, 2^100918382010 is an apocalyptic number.

100918382010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100918382010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127808962560).

100918382010 is an abundant number, since it is smaller than the sum of its proper divisors (154699543110).

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

100918382010 is a wasteful number, since it uses less digits than its factorization.

100918382010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462683.

The product of its (nonzero) digits is 3456, while the sum is 33.

The spelling of 100918382010 in words is "one hundred billion, nine hundred eighteen million, three hundred eighty-two thousand, ten".