102304100032 has 84 divisors (see below), whose sum is σ = 210733375840. Its totient is φ = 49268643840.

The previous prime is 102304099999. The next prime is 102304100033. The reversal of 102304100032 is 230001403201.

It is a happy number.

It is a super-2 number, since 2×102304100032² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 102304099979 and 102304100015.

It is not an unprimeable number, because it can be changed into a prime (102304100033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8493118 + ... + 8505154.

Almost surely, 2^102304100032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102304100032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105366687920).

102304100032 is an abundant number, since it is smaller than the sum of its proper divisors (108429275808).

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

102304100032 is an equidigital number, since it uses as much as digits as its factorization.

102304100032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12210 (or 12159 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 102304100032 its reverse (230001403201), we get a palindrome (332305503233).

The spelling of 102304100032 in words is "one hundred two billion, three hundred four million, one hundred thousand, thirty-two".