10187952 has 40 divisors (see below), whose sum is σ = 27706560. Its totient is φ = 3216960.

The previous prime is 10187951. The next prime is 10187959. The reversal of 10187952 is 25978101.

10187952 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 not an unprimeable number, because it can be changed into a prime (10187951) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4674 + ... + 6497.

It is an arithmetic number, because the mean of its divisors is an integer number (692664).

Almost surely, 2^10187952 is an apocalyptic number.

10187952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10187952 is an abundant number, since it is smaller than the sum of its proper divisors (17518608).

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

10187952 is a wasteful number, since it uses less digits than its factorization.

10187952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11201 (or 11195 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 33.

The square root of 10187952 is about 3191.8571396602. The cubic root of 10187952 is about 216.7848675231.

The spelling of 10187952 in words is "ten million, one hundred eighty-seven thousand, nine hundred fifty-two".