10315600 has 120 divisors (see below), whose sum is σ = 27607608. Its totient is φ = 3686400.

The previous prime is 10315577. The next prime is 10315603. The reversal of 10315600 is 651301.

10315600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 1882384 + 8433216 = 1372^2 + 2904^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10315603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 251580 + ... + 251620.

Almost surely, 2^10315600 is an apocalyptic number.

10315600 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 10315600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13803804).

10315600 is an abundant number, since it is smaller than the sum of its proper divisors (17292008).

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

10315600 is a wasteful number, since it uses less digits than its factorization.

10315600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 10315600 is about 3211.7907777438. The cubic root of 10315600 is about 217.6865005361.

Adding to 10315600 its reverse (651301), we get a palindrome (10966901).

The spelling of 10315600 in words is "ten million, three hundred fifteen thousand, six hundred".