10112784 has 80 divisors (see below), whose sum is σ = 28926720. Its totient is φ = 3018880.

The previous prime is 10112761. The next prime is 10112797. The reversal of 10112784 is 48721101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56407 + ... + 56585.

It is an arithmetic number, because the mean of its divisors is an integer number (361584).

Almost surely, 2^10112784 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10112784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14463360).

10112784 is an abundant number, since it is smaller than the sum of its proper divisors (18813936).

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

10112784 is a wasteful number, since it uses less digits than its factorization.

10112784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 308 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 24.

The square root of 10112784 is about 3180.0603767853. The cubic root of 10112784 is about 216.2503954908.

Adding to 10112784 its reverse (48721101), we get a palindrome (58833885).

The spelling of 10112784 in words is "ten million, one hundred twelve thousand, seven hundred eighty-four".