103967680 has 56 divisors (see below), whose sum is σ = 248442480. Its totient is φ = 41441280.

The previous prime is 103967663. The next prime is 103967701. The reversal of 103967680 is 86769301.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 181795 + ... + 182365.

Almost surely, 2^103967680 is an apocalyptic number.

103967680 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 103967680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124221240).

103967680 is an abundant number, since it is smaller than the sum of its proper divisors (144474800).

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

103967680 is an equidigital number, since it uses as much as digits as its factorization.

103967680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1157 (or 1147 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 40.

The square root of 103967680 is about 10196.4542856819. The cubic root of 103967680 is about 470.2182176654.

The spelling of 103967680 in words is "one hundred three million, nine hundred sixty-seven thousand, six hundred eighty".