10157112 has 72 divisors (see below), whose sum is σ = 32011200. Its totient is φ = 2901024.

The previous prime is 10157111. The next prime is 10157117. The reversal of 10157112 is 21175101.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10157111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2089 + ... + 4967.

It is an arithmetic number, because the mean of its divisors is an integer number (444600).

Almost surely, 2^10157112 is an apocalyptic number.

10157112 is a gapful number since it is divisible by the number (12) 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 10157112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16005600).

10157112 is an abundant number, since it is smaller than the sum of its proper divisors (21854088).

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

10157112 is a wasteful number, since it uses less digits than its factorization.

10157112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2905 (or 2891 counting only the distinct ones).

The product of its (nonzero) digits is 70, while the sum is 18.

The square root of 10157112 is about 3187.0224348128. The cubic root of 10157112 is about 216.5659029156.

The spelling of 10157112 in words is "ten million, one hundred fifty-seven thousand, one hundred twelve".