100252680 has 128 divisors (see below), whose sum is σ = 334523520. Its totient is φ = 23828480.

The previous prime is 100252643. The next prime is 100252751. The reversal of 100252680 is 86252001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 100252680.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 69244 + ... + 70676.

It is an arithmetic number, because the mean of its divisors is an integer number (2613465).

Almost surely, 2^100252680 is an apocalyptic number.

100252680 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 100252680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167261760).

100252680 is an abundant number, since it is smaller than the sum of its proper divisors (234270840).

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

100252680 is a wasteful number, since it uses less digits than its factorization.

100252680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1511 (or 1507 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 100252680 is about 10012.6260291694. The cubic root of 100252680 is about 464.5495000978.

The spelling of 100252680 in words is "one hundred million, two hundred fifty-two thousand, six hundred eighty".