100517680 has 80 divisors (see below), whose sum is σ = 241216704. Its totient is φ = 38937600.

The previous prime is 100517663. The next prime is 100517689. The reversal of 100517680 is 86715001.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (100517689) 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, 640162 + ... + 640318.

Almost surely, 2^100517680 is an apocalyptic number.

100517680 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 100517680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120608352).

100517680 is an abundant number, since it is smaller than the sum of its proper divisors (140699024).

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

100517680 is a wasteful number, since it uses less digits than its factorization.

100517680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374 (or 368 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 28.

The square root of 100517680 is about 10025.8505873567. The cubic root of 100517680 is about 464.9584577680.

The spelling of 100517680 in words is "one hundred million, five hundred seventeen thousand, six hundred eighty".