103819968 has 140 divisors (see below), whose sum is σ = 351842832. Its totient is φ = 29652480.

The previous prime is 103819967. The next prime is 103819979. The reversal of 103819968 is 869918301.

It is not an unprimeable number, because it can be changed into a prime (103819967) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 34858 + ... + 37718.

Almost surely, 2^103819968 is an apocalyptic number.

103819968 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 103819968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175921416).

103819968 is an abundant number, since it is smaller than the sum of its proper divisors (248022864).

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

103819968 is an equidigital number, since it uses as much as digits as its factorization.

103819968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2892 (or 2873 counting only the distinct ones).

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

The square root of 103819968 is about 10189.2084089001. The cubic root of 103819968 is about 469.9954247329.

The spelling of 103819968 in words is "one hundred three million, eight hundred nineteen thousand, nine hundred sixty-eight".