100113100 has 36 divisors (see below), whose sum is σ = 218736000. Its totient is φ = 39770560.

The previous prime is 100113067. The next prime is 100113173. The reversal of 100113100 is 1311001.

It is a happy number.

It is a super-2 number, since 2×100113100² = 20045265583220000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11541 + ... + 18259.

It is an arithmetic number, because the mean of its divisors is an integer number (6076000).

Almost surely, 2^100113100 is an apocalyptic number.

100113100 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 100113100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109368000).

100113100 is an abundant number, since it is smaller than the sum of its proper divisors (118622900).

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

100113100 is a wasteful number, since it uses less digits than its factorization.

100113100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6882 (or 6875 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 7.

The square root of 100113100 is about 10005.6534019523. The cubic root of 100113100 is about 464.3338053313. Note that the first 3 decimals are identical.

Adding to 100113100 its reverse (1311001), we get a palindrome (101424101).

The spelling of 100113100 in words is "one hundred million, one hundred thirteen thousand, one hundred".