103868880 has 80 divisors (see below), whose sum is σ = 323384064. Its totient is φ = 27578880.

The previous prime is 103868797. The next prime is 103868887. The reversal of 103868880 is 88868301.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103868887) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64242 + ... + 65838.

Almost surely, 2^103868880 is an apocalyptic number.

103868880 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 103868880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161692032).

103868880 is an abundant number, since it is smaller than the sum of its proper divisors (219515184).

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

103868880 is a wasteful number, since it uses less digits than its factorization.

103868880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1884 (or 1878 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 42.

The square root of 103868880 is about 10191.6083127247. The cubic root of 103868880 is about 470.0692217345.

The spelling of 103868880 in words is "one hundred three million, eight hundred sixty-eight thousand, eight hundred eighty".