100166976 has 336 divisors, whose sum is σ = 371856000. Its totient is φ = 26417664.

The previous prime is 100166959. The next prime is 100166987. The reversal of 100166976 is 679661001.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 100166976.

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 47 ways as a sum of consecutive naturals, for example, 7705146 + ... + 7705158.

Almost surely, 2^100166976 is an apocalyptic number.

100166976 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 100166976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185928000).

100166976 is an abundant number, since it is smaller than the sum of its proper divisors (271689024).

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

100166976 is an equidigital number, since it uses as much as digits as its factorization.

100166976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 25 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 100166976 is about 10008.3453177836. The cubic root of 100166976 is about 464.4170843490.

The spelling of 100166976 in words is "one hundred million, one hundred sixty-six thousand, nine hundred seventy-six".