103680336 has 80 divisors (see below), whose sum is σ = 279178560. Its totient is φ = 33116160.

The previous prime is 103680329. The next prime is 103680371. The reversal of 103680336 is 633086301.

It is a super-2 number, since 2×103680336² = 21499224146145792, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 293536 + ... + 293888.

It is an arithmetic number, because the mean of its divisors is an integer number (3489732).

Almost surely, 2^103680336 is an apocalyptic number.

103680336 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 103680336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139589280).

103680336 is an abundant number, since it is smaller than the sum of its proper divisors (175498224).

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

103680336 is a wasteful number, since it uses less digits than its factorization.

103680336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 604 (or 598 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 30.

The square root of 103680336 is about 10182.3541482311. The cubic root of 103680336 is about 469.7846244226.

The spelling of 103680336 in words is "one hundred three million, six hundred eighty thousand, three hundred thirty-six".