100631600 has 60 divisors (see below), whose sum is σ = 254511240. Its totient is φ = 38131200.

The previous prime is 100631599. The next prime is 100631603. The reversal of 100631600 is 6136001.

It is not an unprimeable number, because it can be changed into a prime (100631603) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 980 + ... + 14220.

It is an arithmetic number, because the mean of its divisors is an integer number (4241854).

Almost surely, 2^100631600 is an apocalyptic number.

100631600 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 100631600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127255620).

100631600 is an abundant number, since it is smaller than the sum of its proper divisors (153879640).

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

100631600 is a wasteful number, since it uses less digits than its factorization.

100631600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13278 (or 13267 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

The square root of 100631600 is about 10031.5302920342. The cubic root of 100631600 is about 465.1340423681.

Adding to 100631600 its reverse (6136001), we get a palindrome (106767601).

The spelling of 100631600 in words is "one hundred million, six hundred thirty-one thousand, six hundred".