100664280 has 96 divisors (see below), whose sum is σ = 344401200. Its totient is φ = 25429248.

The previous prime is 100664279. The next prime is 100664281. The reversal of 100664280 is 82466001.

100664280 is a `hidden beast` number, since 10 + 0 + 6 + 642 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (100664279) and next prime (100664281).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100664281) 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, 519 + ... + 14198.

Almost surely, 2^100664280 is an apocalyptic number.

100664280 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 100664280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172200600).

100664280 is an abundant number, since it is smaller than the sum of its proper divisors (243736920).

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

100664280 is a wasteful number, since it uses less digits than its factorization.

100664280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14753 (or 14746 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 100664280 is about 10033.1590239565. The cubic root of 100664280 is about 465.1843875060.

The spelling of 100664280 in words is "one hundred million, six hundred sixty-four thousand, two hundred eighty".