100687820 has 24 divisors (see below), whose sum is σ = 214913328. Its totient is φ = 39614400.

The previous prime is 100687799. The next prime is 100687823. The reversal of 100687820 is 28786001.

It is not an unprimeable number, because it can be changed into a prime (100687823) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 40046 + ... + 42485.

It is an arithmetic number, because the mean of its divisors is an integer number (8954722).

Almost surely, 2^100687820 is an apocalyptic number.

100687820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100687820 is an abundant number, since it is smaller than the sum of its proper divisors (114225508).

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

100687820 is a wasteful number, since it uses less digits than its factorization.

100687820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82601 (or 82599 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

The square root of 100687820 is about 10034.3320654640. The cubic root of 100687820 is about 465.2206452763.

The spelling of 100687820 in words is "one hundred million, six hundred eighty-seven thousand, eight hundred twenty".