100318680 has 432 divisors, whose sum is σ = 425748960. Its totient is φ = 20401920.

The previous prime is 100318667. The next prime is 100318693. The reversal of 100318680 is 86813001.

It is an interprime number because it is at equal distance from previous prime (100318667) and next prime (100318693).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 2134417 + ... + 2134463.

It is an arithmetic number, because the mean of its divisors is an integer number (985530).

Almost surely, 2^100318680 is an apocalyptic number.

100318680 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 100318680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212874480).

100318680 is an abundant number, since it is smaller than the sum of its proper divisors (325430280).

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

100318680 is a wasteful number, since it uses less digits than its factorization.

100318680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 100318680 is about 10015.9213255696. The cubic root of 100318680 is about 464.6514210347.

It can be divided in two parts, 1003 and 18680, that added together give a 9-th power (19683 = 3⁹).

The spelling of 100318680 in words is "one hundred million, three hundred eighteen thousand, six hundred eighty".