100864008 has 128 divisors (see below), whose sum is σ = 337152000. Its totient is φ = 27293760.

The previous prime is 100864003. The next prime is 100864033. The reversal of 100864008 is 800468001.

100864008 is a `hidden beast` number, since 10 + 0 + 8 + 640 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (100864003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26973 + ... + 30483.

It is an arithmetic number, because the mean of its divisors is an integer number (2634000).

Almost surely, 2^100864008 is an apocalyptic number.

100864008 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100864008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168576000).

100864008 is an abundant number, since it is smaller than the sum of its proper divisors (236287992).

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

100864008 is a wasteful number, since it uses less digits than its factorization.

100864008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3552 (or 3542 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 100864008 is about 10043.1074872272. The cubic root of 100864008 is about 465.4918417065.

The spelling of 100864008 in words is "one hundred million, eight hundred sixty-four thousand, eight".