103160320 has 80 divisors (see below), whose sum is σ = 251903520. Its totient is φ = 40505344.

The previous prime is 103160251. The next prime is 103160327. The reversal of 103160320 is 23061301.

It is a tau number, because it is divible by the number of its divisors (80).

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 = 103160294 and 103160303.

It is not an unprimeable number, because it can be changed into a prime (103160327) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 150699 + ... + 151381.

It is an arithmetic number, because the mean of its divisors is an integer number (3148794).

Almost surely, 2^103160320 is an apocalyptic number.

103160320 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 103160320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125951760).

103160320 is an abundant number, since it is smaller than the sum of its proper divisors (148743200).

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

103160320 is an frugal number, since it uses more digits than its factorization.

103160320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 765 (or 749 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 103160320 is about 10156.7868935013. The cubic root of 103160320 is about 468.9978950720.

The spelling of 103160320 in words is "one hundred three million, one hundred sixty thousand, three hundred twenty".