100639680 has 112 divisors (see below), whose sum is σ = 323819520. Its totient is φ = 26477568.

The previous prime is 100639661. The next prime is 100639681. The reversal of 100639680 is 86936001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100639681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75177 + ... + 76503.

Almost surely, 2^100639680 is an apocalyptic number.

100639680 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 100639680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161909760).

100639680 is an abundant number, since it is smaller than the sum of its proper divisors (223179840).

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

100639680 is a wasteful number, since it uses less digits than its factorization.

100639680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1426 (or 1416 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 100639680 is about 10031.9330141304. The cubic root of 100639680 is about 465.1464910174.

The spelling of 100639680 in words is "one hundred million, six hundred thirty-nine thousand, six hundred eighty".