100181664 has 192 divisors, whose sum is σ = 325140480. Its totient is φ = 29756160.

The previous prime is 100181659. The next prime is 100181671. The reversal of 100181664 is 466181001.

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

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, 788769 + ... + 788895.

It is an arithmetic number, because the mean of its divisors is an integer number (1693440).

Almost surely, 2^100181664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100181664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162570240).

100181664 is an abundant number, since it is smaller than the sum of its proper divisors (224958816).

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

100181664 is a wasteful number, since it uses less digits than its factorization.

100181664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 226 counting only the distinct ones).

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

The square root of 100181664 is about 10009.0790785167. The cubic root of 100181664 is about 464.4397831965.

The spelling of 100181664 in words is "one hundred million, one hundred eighty-one thousand, six hundred sixty-four".