103974912 has 72 divisors (see below), whose sum is σ = 300351870. Its totient is φ = 34652160.

The previous prime is 103974911. The next prime is 103974971. The reversal of 103974912 is 219479301.

It can be written as a sum of positive squares in only one way, i.e., 57517056 + 46457856 = 7584^2 + 6816^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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 (103974911) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 15612 + ... + 21252.

Almost surely, 2^103974912 is an apocalyptic number.

103974912 is a gapful number since it is divisible by the number (12) 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 103974912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150175935).

103974912 is an abundant number, since it is smaller than the sum of its proper divisors (196376958).

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

103974912 is an equidigital number, since it uses as much as digits as its factorization.

103974912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5669 (or 5646 counting only the distinct ones).

The product of its (nonzero) digits is 13608, while the sum is 36.

The square root of 103974912 is about 10196.8089125961. The cubic root of 103974912 is about 470.2291202181.

The spelling of 103974912 in words is "one hundred three million, nine hundred seventy-four thousand, nine hundred twelve".