103202312320 has 128 divisors (see below), whose sum is σ = 251856494640. Its totient is φ = 40424177664.

The previous prime is 103202312309. The next prime is 103202312347. The reversal of 103202312320 is 23213202301.

It can be written as a sum of positive squares in 8 ways, for example, as 87990543424 + 15211768896 = 296632^2 + 123336^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19569204 + ... + 19574476.

Almost surely, 2^103202312320 is an apocalyptic number.

103202312320 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 103202312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125928247320).

103202312320 is an abundant number, since it is smaller than the sum of its proper divisors (148654182320).

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

103202312320 is an equidigital number, since it uses as much as digits as its factorization.

103202312320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5922 (or 5910 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 103202312320 its reverse (23213202301), we get a palindrome (126415514621).

The spelling of 103202312320 in words is "one hundred three billion, two hundred two million, three hundred twelve thousand, three hundred twenty".