10329120 has 120 divisors (see below), whose sum is σ = 36498924. Its totient is φ = 2750976.

The previous prime is 10329119. The next prime is 10329157. The reversal of 10329120 is 2192301.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 10265616 + 63504 = 3204^2 + 252^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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 = 10329093 and 10329102.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 12562 + ... + 13358.

Almost surely, 2^10329120 is an apocalyptic number.

10329120 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 10329120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18249462).

10329120 is an abundant number, since it is smaller than the sum of its proper divisors (26169804).

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

10329120 is an equidigital number, since it uses as much as digits as its factorization.

10329120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 824 (or 807 counting only the distinct ones).

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

The square root of 10329120 is about 3213.8948333759. The cubic root of 10329120 is about 217.7815616292.

The spelling of 10329120 in words is "ten million, three hundred twenty-nine thousand, one hundred twenty".