10507112 has 64 divisors (see below), whose sum is σ = 25280640. Its totient is φ = 3974400.

The previous prime is 10507103. The next prime is 10507151. The reversal of 10507112 is 21170501.

It is a super-2 number, since 2×10507112² = 220798805161088, which contains 22 as substring.

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, 22562 + ... + 23022.

It is an arithmetic number, because the mean of its divisors is an integer number (395010).

Almost surely, 2^10507112 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 10507112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12640320).

10507112 is an abundant number, since it is smaller than the sum of its proper divisors (14773528).

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

10507112 is a wasteful number, since it uses less digits than its factorization.

10507112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 17.

The square root of 10507112 is about 3241.4675688644. The cubic root of 10507112 is about 219.0253857411.

Adding to 10507112 its reverse (21170501), we get a palindrome (31677613).

The spelling of 10507112 in words is "ten million, five hundred seven thousand, one hundred twelve".