103122100320 has 96 divisors (see below), whose sum is σ = 327988507392. Its totient is φ = 27232230912.

The previous prime is 103122100307. The next prime is 103122100337. The reversal of 103122100320 is 23001221301.

103122100320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

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 103122100320.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 993462 + ... + 1092341.

It is an arithmetic number, because the mean of its divisors is an integer number (3416546952).

Almost surely, 2^103122100320 is an apocalyptic number.

103122100320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103122100320 is an abundant number, since it is smaller than the sum of its proper divisors (224866407072).

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

103122100320 is a wasteful number, since it uses less digits than its factorization.

103122100320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2085924 (or 2085916 counting only the distinct ones).

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

Adding to 103122100320 its reverse (23001221301), we get a palindrome (126123321621).

The spelling of 103122100320 in words is "one hundred three billion, one hundred twenty-two million, one hundred thousand, three hundred twenty".