10102132320 has 192 divisors, whose sum is σ = 36409637376. Its totient is φ = 2306396160.

The previous prime is 10102132307. The next prime is 10102132321. The reversal of 10102132320 is 2323120101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 10102132320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102132321) 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 31 ways as a sum of consecutive naturals, for example, 5781687 + ... + 5783433.

It is an arithmetic number, because the mean of its divisors is an integer number (189633528).

Almost surely, 2^10102132320 is an apocalyptic number.

10102132320 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 10102132320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18204818688).

10102132320 is an abundant number, since it is smaller than the sum of its proper divisors (26307505056).

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

10102132320 is a wasteful number, since it uses less digits than its factorization.

10102132320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3493 (or 3485 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10102132320 its reverse (2323120101), we get a palindrome (12425252421).

The spelling of 10102132320 in words is "ten billion, one hundred two million, one hundred thirty-two thousand, three hundred twenty".