100857680 has 120 divisors (see below), whose sum is σ = 297704160. Its totient is φ = 31422720.

The previous prime is 100857649. The next prime is 100857709. The reversal of 100857680 is 86758001.

It is a happy number.

It is a super-2 number, since 2×100857680² = 20344543229964800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 100857680.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 41951 + ... + 44289.

It is an arithmetic number, because the mean of its divisors is an integer number (2480868).

Almost surely, 2^100857680 is an apocalyptic number.

100857680 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 100857680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148852080).

100857680 is an abundant number, since it is smaller than the sum of its proper divisors (196846480).

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

100857680 is a wasteful number, since it uses less digits than its factorization.

100857680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2377 (or 2364 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 35.

The square root of 100857680 is about 10042.7924403524. The cubic root of 100857680 is about 465.4821068367.

The spelling of 100857680 in words is "one hundred million, eight hundred fifty-seven thousand, six hundred eighty".