10112880 has 80 divisors (see below), whose sum is σ = 32453280. Its totient is φ = 2601984.

The previous prime is 10112873. The next prime is 10112881. The reversal of 10112880 is 8821101.

10112880 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10112881) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6234 + ... + 7686.

It is an arithmetic number, because the mean of its divisors is an integer number (405666).

Almost surely, 2^10112880 is an apocalyptic number.

10112880 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 10112880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16226640).

10112880 is an abundant number, since it is smaller than the sum of its proper divisors (22340400).

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

10112880 is a wasteful number, since it uses less digits than its factorization.

10112880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1498 (or 1492 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 21.

The square root of 10112880 is about 3180.0754708025. The cubic root of 10112880 is about 216.2510797723.

Adding to 10112880 its reverse (8821101), we get a palindrome (18933981).

The spelling of 10112880 in words is "ten million, one hundred twelve thousand, eight hundred eighty".