10129320 has 128 divisors (see below), whose sum is σ = 34473600. Its totient is φ = 2644992.

The previous prime is 10129283. The next prime is 10129321. The reversal of 10129320 is 2392101.

It is a happy number.

10129320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10129293 and 10129302.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10129321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 89584 + ... + 89696.

It is an arithmetic number, because the mean of its divisors is an integer number (269325).

Almost surely, 2^10129320 is an apocalyptic number.

10129320 is a gapful number since it is divisible by the number (10) 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 10129320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17236800).

10129320 is an abundant number, since it is smaller than the sum of its proper divisors (24344280).

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

10129320 is a wasteful number, since it uses less digits than its factorization.

10129320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 10129320 is about 3182.6592654571. The cubic root of 10129320 is about 216.3681991621.

The spelling of 10129320 in words is "ten million, one hundred twenty-nine thousand, three hundred twenty".