100113102 has 48 divisors (see below), whose sum is σ = 234591552. Its totient is φ = 30735360.

The previous prime is 100113067. The next prime is 100113173. The reversal of 100113102 is 201311001.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10902 + ... + 17862.

It is an arithmetic number, because the mean of its divisors is an integer number (4887324).

Almost surely, 2^100113102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100113102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117295776).

100113102 is an abundant number, since it is smaller than the sum of its proper divisors (134478450).

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

100113102 is a wasteful number, since it uses less digits than its factorization.

100113102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7033 (or 7030 counting only the distinct ones).

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

The square root of 100113102 is about 10005.6535018958. The cubic root of 100113102 is about 464.3338084233. Note that the first 3 decimals are identical.

Adding to 100113102 its reverse (201311001), we get a palindrome (301424103).

The spelling of 100113102 in words is "one hundred million, one hundred thirteen thousand, one hundred two".