100413152 has 72 divisors (see below), whose sum is σ = 243555984. Its totient is φ = 40492032.

The previous prime is 100413149. The next prime is 100413163. The reversal of 100413152 is 251314001.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a self number, because there is not a number n which added to its sum of digits gives 100413152.

It is a congruent number.

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, 24773 + ... + 28539.

It is an arithmetic number, because the mean of its divisors is an integer number (3382722).

Almost surely, 2^100413152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100413152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121777992).

100413152 is an abundant number, since it is smaller than the sum of its proper divisors (143142832).

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

100413152 is a wasteful number, since it uses less digits than its factorization.

100413152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3808 (or 3793 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 100413152 is about 10020.6363071414. The cubic root of 100413152 is about 464.7972322862.

Adding to 100413152 its reverse (251314001), we get a palindrome (351727153).

The spelling of 100413152 in words is "one hundred million, four hundred thirteen thousand, one hundred fifty-two".