102023032320 has 480 divisors, whose sum is σ = 405762065280. Its totient is φ = 23430021120.

The previous prime is 102023032303. The next prime is 102023032393. The reversal of 102023032320 is 23230320201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (480).

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 = 102023032293 and 102023032302.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4804767 + ... + 4825953.

It is an arithmetic number, because the mean of its divisors is an integer number (845337636).

Almost surely, 2^102023032320 is an apocalyptic number.

102023032320 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 102023032320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202881032640).

102023032320 is an abundant number, since it is smaller than the sum of its proper divisors (303739032960).

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

102023032320 is a wasteful number, since it uses less digits than its factorization.

102023032320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21246 (or 21227 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 102023032320 its reverse (23230320201), we get a palindrome (125253352521).

The spelling of 102023032320 in words is "one hundred two billion, twenty-three million, thirty-two thousand, three hundred twenty".