10129952 has 48 divisors (see below), whose sum is σ = 23369472. Its totient is φ = 4231680.

The previous prime is 10129939. The next prime is 10129969. The reversal of 10129952 is 25992101.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8633 + ... + 9735.

It is an arithmetic number, because the mean of its divisors is an integer number (486864).

Almost surely, 2^10129952 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 10129952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11684736).

10129952 is an abundant number, since it is smaller than the sum of its proper divisors (13239520).

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

10129952 is a wasteful number, since it uses less digits than its factorization.

10129952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1161 (or 1153 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 29.

The square root of 10129952 is about 3182.7585519483. The cubic root of 10129952 is about 216.3726990317.

The spelling of 10129952 in words is "ten million, one hundred twenty-nine thousand, nine hundred fifty-two".