100631580 has 192 divisors, whose sum is σ = 340623360. Its totient is φ = 21715200.

The previous prime is 100631579. The next prime is 100631591. The reversal of 100631580 is 85136001.

It is a super-4 number, since 4×100631580⁴ (a number of 33 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100631580.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 768115 + ... + 768245.

It is an arithmetic number, because the mean of its divisors is an integer number (1774080).

Almost surely, 2^100631580 is an apocalyptic number.

100631580 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 100631580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170311680).

100631580 is an abundant number, since it is smaller than the sum of its proper divisors (239991780).

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

100631580 is a wasteful number, since it uses less digits than its factorization.

100631580 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240 (or 238 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 100631580 is about 10031.5292951773. The cubic root of 100631580 is about 465.1340115538.

Adding to 100631580 its reverse (85136001), we get a palindrome (185767581).

The spelling of 100631580 in words is "one hundred million, six hundred thirty-one thousand, five hundred eighty".