10187112 has 64 divisors (see below), whose sum is σ = 27780480. Its totient is φ = 3094272.

The previous prime is 10187101. The next prime is 10187123. The reversal of 10187112 is 21178101.

10187112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10187101) and next prime (10187123).

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, 31978 + ... + 32294.

It is an arithmetic number, because the mean of its divisors is an integer number (434070).

Almost surely, 2^10187112 is an apocalyptic number.

10187112 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 10187112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13890240).

10187112 is an abundant number, since it is smaller than the sum of its proper divisors (17593368).

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

10187112 is a wasteful number, since it uses less digits than its factorization.

10187112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 112, while the sum is 21.

The square root of 10187112 is about 3191.7255521113. The cubic root of 10187112 is about 216.7789093648.

The spelling of 10187112 in words is "ten million, one hundred eighty-seven thousand, one hundred twelve".