103101100320 has 96 divisors (see below), whose sum is σ = 329217460992. Its totient is φ = 27116992512.

The previous prime is 103101100253. The next prime is 103101100373. The reversal of 103101100320 is 23001101301.

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 (12).

It is a junction number, because it is equal to n+sod(n) for n = 103101100296 and 103101100305.

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, 1436152 + ... + 1506231.

It is an arithmetic number, because the mean of its divisors is an integer number (3429348552).

Almost surely, 2^103101100320 is an apocalyptic number.

103101100320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103101100320 is an abundant number, since it is smaller than the sum of its proper divisors (226116360672).

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

103101100320 is a wasteful number, since it uses less digits than its factorization.

103101100320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2942474 (or 2942466 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 103101100320 its reverse (23001101301), we get a palindrome (126102201621).

The spelling of 103101100320 in words is "one hundred three billion, one hundred one million, one hundred thousand, three hundred twenty".