103315968 has 120 divisors (see below), whose sum is σ = 340879968. Its totient is φ = 29509632.

The previous prime is 103315967. The next prime is 103315973. The reversal of 103315968 is 869513301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (103315967) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 30655 + ... + 33857.

Almost surely, 2^103315968 is an apocalyptic number.

103315968 is a gapful number since it is divisible by the number (18) 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 103315968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170439984).

103315968 is an abundant number, since it is smaller than the sum of its proper divisors (237564000).

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

103315968 is an equidigital number, since it uses as much as digits as its factorization.

103315968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3234 (or 3215 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 103315968 is about 10164.4462711945. The cubic root of 103315968 is about 469.2336507765.

The spelling of 103315968 in words is "one hundred three million, three hundred fifteen thousand, nine hundred sixty-eight".