103981968 has 50 divisors (see below), whose sum is σ = 300957734. Its totient is φ = 34660224.

The previous prime is 103981949. The next prime is 103981987. The reversal of 103981968 is 869189301.

It is an interprime number because it is at equal distance from previous prime (103981949) and next prime (103981987).

It can be written as a sum of positive squares in only one way, i.e., 103795344 + 186624 = 10188^2 + 432^2 .

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 9 ways as a sum of consecutive naturals, for example, 38821 + ... + 41412.

Almost surely, 2^103981968 is an apocalyptic number.

103981968 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

103981968 is an abundant number, since it is smaller than the sum of its proper divisors (196975766).

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

103981968 is an equidigital number, since it uses as much as digits as its factorization.

103981968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80253 (or 80238 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The square root of 103981968 is about 10197.1548973231. The cubic root of 103981968 is about 470.2397569558.

The spelling of 103981968 in words is "one hundred three million, nine hundred eighty-one thousand, nine hundred sixty-eight".