103301032320 has 128 divisors (see below), whose sum is σ = 365857884000. Its totient is φ = 27546937344.

The previous prime is 103301032277. The next prime is 103301032339. The reversal of 103301032320 is 23230103301.

103301032320 is a `hidden beast` number, since 1 + 0 + 330 + 10 + 3 + 2 + 320 = 666.

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

It is a super-2 number, since 2×103301032320² (a number of 23 digits) contains 22 as substring.

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 = 103301032293 and 103301032302.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 2971755 + ... + 3006314.

Almost surely, 2^103301032320 is an apocalyptic number.

103301032320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103301032320 is an abundant number, since it is smaller than the sum of its proper divisors (262556851680).

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

103301032320 is an equidigital number, since it uses as much as digits as its factorization.

103301032320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5978097 (or 5978079 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 103301032320 its reverse (23230103301), we get a palindrome (126531135621).

The spelling of 103301032320 in words is "one hundred three billion, three hundred one million, thirty-two thousand, three hundred twenty".