100660400 has 120 divisors (see below), whose sum is σ = 260300304. Its totient is φ = 37273600.

The previous prime is 100660381. The next prime is 100660403. The reversal of 100660400 is 4066001.

It is a super-2 number, since 2×100660400² = 20265032256320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (100660403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 768335 + ... + 768465.

Almost surely, 2^100660400 is an apocalyptic number.

100660400 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 100660400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130150152).

100660400 is an abundant number, since it is smaller than the sum of its proper divisors (159639904).

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

100660400 is a wasteful number, since it uses less digits than its factorization.

100660400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 279 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 100660400 is about 10032.9656632523. The cubic root of 100660400 is about 465.1784107464.

The spelling of 100660400 in words is "one hundred million, six hundred sixty thousand, four hundred".