116103680 has 320 divisors, whose sum is σ = 377118720. Its totient is φ = 33177600.

The previous prime is 116103671. The next prime is 116103683. The reversal of 116103680 is 86301611.

It is a tau number, because it is divible by the number of its divisors (320).

It is not an unprimeable number, because it can be changed into a prime (116103683) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3745265 + ... + 3745295.

It is an arithmetic number, because the mean of its divisors is an integer number (1178496).

Almost surely, 2^116103680 is an apocalyptic number.

116103680 is a gapful number since it is divisible by the number (10) 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 116103680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188559360).

116103680 is an abundant number, since it is smaller than the sum of its proper divisors (261015040).

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

116103680 is a wasteful number, since it uses less digits than its factorization.

116103680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 75 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 26.

The square root of 116103680 is about 10775.1417624085. The cubic root of 116103680 is about 487.8451537737.

The spelling of 116103680 in words is "one hundred sixteen million, one hundred three thousand, six hundred eighty".