100293680 has 80 divisors (see below), whose sum is σ = 247436544. Its totient is φ = 37739520.

The previous prime is 100293653. The next prime is 100293701. The reversal of 100293680 is 86392001.

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 91214 + ... + 92306.

Almost surely, 2^100293680 is an apocalyptic number.

100293680 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 100293680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123718272).

100293680 is an abundant number, since it is smaller than the sum of its proper divisors (147142864).

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

100293680 is a wasteful number, since it uses less digits than its factorization.

100293680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1174 (or 1168 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 29.

The square root of 100293680 is about 10014.6732348090. The cubic root of 100293680 is about 464.6128198802.

The spelling of 100293680 in words is "one hundred million, two hundred ninety-three thousand, six hundred eighty".