100113210 has 24 divisors (see below), whose sum is σ = 260294580. Its totient is φ = 26696832.

The previous prime is 100113203. The next prime is 100113239. The reversal of 100113210 is 12311001.

It can be written as a sum of positive squares in 2 ways, for example, as 97594641 + 2518569 = 9879^2 + 1587^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 100113192 and 100113201.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 556095 + ... + 556274.

Almost surely, 2^100113210 is an apocalyptic number.

100113210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100113210 is an abundant number, since it is smaller than the sum of its proper divisors (160181370).

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

100113210 is a wasteful number, since it uses less digits than its factorization.

100113210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1112382 (or 1112379 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 100113210 is about 10005.6588988432. The cubic root of 100113210 is about 464.3339753946. Note that the first 3 decimals are identical.

Adding to 100113210 its reverse (12311001), we get a palindrome (112424211).

The spelling of 100113210 in words is "one hundred million, one hundred thirteen thousand, two hundred ten".