10129152 has 108 divisors (see below), whose sum is σ = 29903720. Its totient is φ = 3041280.

The previous prime is 10129129. The next prime is 10129153. The reversal of 10129152 is 25192101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10129153) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92874 + ... + 92982.

Almost surely, 2^10129152 is an apocalyptic number.

10129152 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 10129152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14951860).

10129152 is an abundant number, since it is smaller than the sum of its proper divisors (19774568).

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

10129152 is a wasteful number, since it uses less digits than its factorization.

10129152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 21.

The square root of 10129152 is about 3182.6328723244. The cubic root of 10129152 is about 216.3670029627.

The spelling of 10129152 in words is "ten million, one hundred twenty-nine thousand, one hundred fifty-two".