100315320 has 128 divisors (see below), whose sum is σ = 345945600. Its totient is φ = 22795776.

The previous prime is 100315309. The next prime is 100315331. The reversal of 100315320 is 23513001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100315309) and next prime (100315331).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100315320.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 257686 + ... + 258074.

It is an arithmetic number, because the mean of its divisors is an integer number (2702700).

Almost surely, 2^100315320 is an apocalyptic number.

100315320 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 100315320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172972800).

100315320 is an abundant number, since it is smaller than the sum of its proper divisors (245630280).

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

100315320 is a wasteful number, since it uses less digits than its factorization.

100315320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 15.

The square root of 100315320 is about 10015.7535912182. The cubic root of 100315320 is about 464.6462334126.

Adding to 100315320 its reverse (23513001), we get a palindrome (123828321).

It can be divided in two parts, 10031 and 5320, that added together give a palindrome (15351).

The spelling of 100315320 in words is "one hundred million, three hundred fifteen thousand, three hundred twenty".