100091680 has 48 divisors (see below), whose sum is σ = 254661624. Its totient is φ = 36956160.

The previous prime is 100091669. The next prime is 100091689. The reversal of 100091680 is 86190001.

It can be written as a sum of positive squares in 4 ways, for example, as 73342096 + 26749584 = 8564^2 + 5172^2 .

It is not an unprimeable number, because it can be changed into a prime (100091689) 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, 21981 + ... + 26140.

Almost surely, 2^100091680 is an apocalyptic number.

100091680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100091680 is an abundant number, since it is smaller than the sum of its proper divisors (154569944).

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

100091680 is a wasteful number, since it uses less digits than its factorization.

100091680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48149 (or 48141 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 25.

The square root of 100091680 is about 10004.5829498285. The cubic root of 100091680 is about 464.3006869897.

The spelling of 100091680 in words is "one hundred million, ninety-one thousand, six hundred eighty".