103817376 has 216 divisors, whose sum is σ = 335724480. Its totient is φ = 31539456.

The previous prime is 103817339. The next prime is 103817393. The reversal of 103817376 is 673718301.

It is a tau number, because it is divible by the number of its divisors (216).

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

It is a self number, because there is not a number n which added to its sum of digits gives 103817376.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 1314105 + ... + 1314183.

It is an arithmetic number, because the mean of its divisors is an integer number (1554280).

Almost surely, 2^103817376 is an apocalyptic number.

103817376 is a gapful number since it is divisible by the number (16) 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 103817376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167862240).

103817376 is an abundant number, since it is smaller than the sum of its proper divisors (231907104).

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

103817376 is an equidigital number, since it uses as much as digits as its factorization.

103817376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 21168, while the sum is 36.

The square root of 103817376 is about 10189.0812147121. The cubic root of 103817376 is about 469.9915133521.

The spelling of 103817376 in words is "one hundred three million, eight hundred seventeen thousand, three hundred seventy-six".