103961680 has 40 divisors (see below), whose sum is σ = 242142984. Its totient is φ = 41510400.

The previous prime is 103961657. The next prime is 103961699. The reversal of 103961680 is 86169301.

It can be written as a sum of positive squares in 4 ways, for example, as 12873744 + 91087936 = 3588^2 + 9544^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

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, 74590 + ... + 75970.

Almost surely, 2^103961680 is an apocalyptic number.

103961680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103961680 is an abundant number, since it is smaller than the sum of its proper divisors (138181304).

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

103961680 is a wasteful number, since it uses less digits than its factorization.

103961680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2335 (or 2329 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 34.

The square root of 103961680 is about 10196.1600615134. The cubic root of 103961680 is about 470.2091720223.

The spelling of 103961680 in words is "one hundred three million, nine hundred sixty-one thousand, six hundred eighty".