10113600 has 252 divisors, whose sum is σ = 39495984. Its totient is φ = 2257920.

The previous prime is 10113599. The next prime is 10113637. The reversal of 10113600 is 631101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 235179 + ... + 235221.

Almost surely, 2^10113600 is an apocalyptic number.

10113600 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 10113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19747992).

10113600 is an abundant number, since it is smaller than the sum of its proper divisors (29382384).

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

10113600 is a wasteful number, since it uses less digits than its factorization.

10113600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

The square root of 10113600 is about 3180.1886736482. The cubic root of 10113600 is about 216.2562117453.

Adding to 10113600 its reverse (631101), we get a palindrome (10744701).

The spelling of 10113600 in words is "ten million, one hundred thirteen thousand, six hundred".