100413320 has 64 divisors (see below), whose sum is σ = 262483200. Its totient is φ = 33857280.

The previous prime is 100413311. The next prime is 100413329. The reversal of 100413320 is 23314001.

It is an interprime number because it is at equal distance from previous prime (100413311) and next prime (100413329).

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 100413295 and 100413304.

It is not an unprimeable number, because it can be changed into a prime (100413329) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14141 + ... + 20019.

It is an arithmetic number, because the mean of its divisors is an integer number (4101300).

Almost surely, 2^100413320 is an apocalyptic number.

100413320 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 100413320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131241600).

100413320 is an abundant number, since it is smaller than the sum of its proper divisors (162069880).

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

100413320 is a wasteful number, since it uses less digits than its factorization.

100413320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5958 (or 5954 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 100413320 is about 10020.6446898391. The cubic root of 100413320 is about 464.7974915016.

Adding to 100413320 its reverse (23314001), we get a palindrome (123727321).

The spelling of 100413320 in words is "one hundred million, four hundred thirteen thousand, three hundred twenty".