100113220 has 48 divisors (see below), whose sum is σ = 219769200. Its totient is φ = 38259200.

The previous prime is 100113203. The next prime is 100113239. The reversal of 100113220 is 22311001.

It can be written as a sum of positive squares in 8 ways, for example, as 432964 + 99680256 = 658^2 + 9984^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 100113197 and 100113206.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57726 + ... + 59434.

It is an arithmetic number, because the mean of its divisors is an integer number (4578525).

Almost surely, 2^100113220 is an apocalyptic number.

100113220 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 100113220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109884600).

100113220 is an abundant number, since it is smaller than the sum of its proper divisors (119655980).

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

100113220 is a wasteful number, since it uses less digits than its factorization.

100113220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1848 (or 1846 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 10.

The square root of 100113220 is about 10005.6593985604. The cubic root of 100113220 is about 464.3339908549. Note that the first 3 decimals are identical.

Adding to 100113220 its reverse (22311001), we get a palindrome (122424221).

It can be divided in two parts, 10011 and 3220, that added together give a palindrome (13231).

The spelling of 100113220 in words is "one hundred million, one hundred thirteen thousand, two hundred twenty".