100686720 has 96 divisors (see below), whose sum is σ = 322346520. Its totient is φ = 26732544.

The previous prime is 100686713. The next prime is 100686809. The reversal of 100686720 is 27686001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 439566 + ... + 439794.

Almost surely, 2^100686720 is an apocalyptic number.

100686720 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 100686720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161173260).

100686720 is an abundant number, since it is smaller than the sum of its proper divisors (221659800).

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

100686720 is an frugal number, since it uses more digits than its factorization.

100686720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The square root of 100686720 is about 10034.2772534946. The cubic root of 100686720 is about 465.2189511138.

Multiplying 100686720 by its sum of digits (30), we get a square (3020601600 = 54960²).

100686720 divided by its sum of digits (30) gives a square (3356224 = 1832²).

The spelling of 100686720 in words is "one hundred million, six hundred eighty-six thousand, seven hundred twenty".