100164816 has 160 divisors (see below), whose sum is σ = 318193920. Its totient is φ = 30007296.

The previous prime is 100164791. The next prime is 100164821. The reversal of 100164816 is 618461001.

100164816 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 648 + 16 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 100164816.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 168616 + ... + 169208.

It is an arithmetic number, because the mean of its divisors is an integer number (1988712).

Almost surely, 2^100164816 is an apocalyptic number.

100164816 is a gapful number since it is divisible by the number (16) 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 100164816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159096960).

100164816 is an abundant number, since it is smaller than the sum of its proper divisors (218029104).

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

100164816 is a wasteful number, since it uses less digits than its factorization.

100164816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 638 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 100164816 is about 10008.2374072561. The cubic root of 100164816 is about 464.4137460961.

The spelling of 100164816 in words is "one hundred million, one hundred sixty-four thousand, eight hundred sixteen".