100665600 has 324 divisors, whose sum is σ = 390068784. Its totient is φ = 22794240.

The previous prime is 100665581. The next prime is 100665601. The reversal of 100665600 is 6566001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (100665601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 940747 + ... + 940853.

It is an arithmetic number, because the mean of its divisors is an integer number (1203916).

Almost surely, 2^100665600 is an apocalyptic number.

100665600 is a gapful number since it is divisible by the number (10) 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 100665600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195034392).

100665600 is an abundant number, since it is smaller than the sum of its proper divisors (289403184).

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

100665600 is a wasteful number, since it uses less digits than its factorization.

100665600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 100665600 is about 10033.2248056146. The cubic root of 100665600 is about 465.1864208016.

The spelling of 100665600 in words is "one hundred million, six hundred sixty-five thousand, six hundred".