10352532120 has 128 divisors (see below), whose sum is σ = 35630115840. Its totient is φ = 2357245440.

The previous prime is 10352532089. The next prime is 10352532161. The reversal of 10352532120 is 2123525301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 197490 + ... + 244350.

It is an arithmetic number, because the mean of its divisors is an integer number (278360280).

Almost surely, 2^10352532120 is an apocalyptic number.

10352532120 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 10352532120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17815057920).

10352532120 is an abundant number, since it is smaller than the sum of its proper divisors (25277583720).

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

10352532120 is a wasteful number, since it uses less digits than its factorization.

10352532120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47145 (or 47141 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The spelling of 10352532120 in words is "ten billion, three hundred fifty-two million, five hundred thirty-two thousand, one hundred twenty".