100667664 has 80 divisors (see below), whose sum is σ = 298314240. Its totient is φ = 32469120.

The previous prime is 100667663. The next prime is 100667689. The reversal of 100667664 is 466766001.

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

It is not an unprimeable number, because it can be changed into a prime (100667663) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9634 + ... + 17150.

It is an arithmetic number, because the mean of its divisors is an integer number (3728928).

Almost surely, 2^100667664 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 100667664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149157120).

100667664 is an abundant number, since it is smaller than the sum of its proper divisors (197646576).

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

100667664 is a wasteful number, since it uses less digits than its factorization.

100667664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7565 (or 7553 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 100667664 is about 10033.3276633428. The cubic root of 100667664 is about 465.1896001009.

The spelling of 100667664 in words is "one hundred million, six hundred sixty-seven thousand, six hundred sixty-four".