103871760 has 40 divisors (see below), whose sum is σ = 322003200. Its totient is φ = 27699072.

The previous prime is 103871759. The next prime is 103871767. The reversal of 103871760 is 67178301.

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

It is not an unprimeable number, because it can be changed into a prime (103871767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 216160 + ... + 216639.

It is an arithmetic number, because the mean of its divisors is an integer number (8050080).

Almost surely, 2^103871760 is an apocalyptic number.

103871760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103871760 is an abundant number, since it is smaller than the sum of its proper divisors (218131440).

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

103871760 is a wasteful number, since it uses less digits than its factorization.

103871760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432815 (or 432809 counting only the distinct ones).

The product of its (nonzero) digits is 7056, while the sum is 33.

The square root of 103871760 is about 10191.7496044595. The cubic root of 103871760 is about 470.0735662724.

The spelling of 103871760 in words is "one hundred three million, eight hundred seventy-one thousand, seven hundred sixty".