10129338 has 48 divisors (see below), whose sum is σ = 23474880. Its totient is φ = 3148992.

The previous prime is 10129321. The next prime is 10129349. The reversal of 10129338 is 83392101.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17518 + ... + 18086.

It is an arithmetic number, because the mean of its divisors is an integer number (489060).

Almost surely, 2^10129338 is an apocalyptic number.

10129338 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10129338, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11737440).

10129338 is an abundant number, since it is smaller than the sum of its proper divisors (13345542).

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

10129338 is a wasteful number, since it uses less digits than its factorization.

10129338 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 643 (or 640 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 27.

The square root of 10129338 is about 3182.6620932798. The cubic root of 10129338 is about 216.3683273255.

The spelling of 10129338 in words is "ten million, one hundred twenty-nine thousand, three hundred thirty-eight".