10129392 has 120 divisors (see below), whose sum is σ = 34935264. Its totient is φ = 2668032.

The previous prime is 10129387. The next prime is 10129397. The reversal of 10129392 is 29392101.

It is an interprime number because it is at equal distance from previous prime (10129387) and next prime (10129397).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10129397) 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 23 ways as a sum of consecutive naturals, for example, 12718 + ... + 13490.

Almost surely, 2^10129392 is an apocalyptic number.

10129392 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 10129392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17467632).

10129392 is an abundant number, since it is smaller than the sum of its proper divisors (24805872).

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

10129392 is a wasteful number, since it uses less digits than its factorization.

10129392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 807 (or 798 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 10129392 is about 3182.6705767327. The cubic root of 10129392 is about 216.3687118149.

It can be divided in two parts, 1012 and 9392, that added together give a square (10404 = 102²).

The spelling of 10129392 in words is "ten million, one hundred twenty-nine thousand, three hundred ninety-two".