10112313600 has 243 divisors, whose sum is σ = 36240295273. Its totient is φ = 2690181120.

The previous prime is 10112313583. The next prime is 10112313619. The reversal of 10112313600 is 631321101.

The square root of 10112313600 is 100560.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3640432896 + 6471880704 = 60336^2 + 80448^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 24134191 + ... + 24134609.

Almost surely, 2^10112313600 is an apocalyptic number.

10112313600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10112313600 is the 100560-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10112313600

10112313600 is an abundant number, since it is smaller than the sum of its proper divisors (26127981673).

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

10112313600 is an frugal number, since it uses more digits than its factorization.

10112313600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 870 (or 429 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10112313600 its reverse (631321101), we get a palindrome (10743634701).

The spelling of 10112313600 in words is "ten billion, one hundred twelve million, three hundred thirteen thousand, six hundred".