103875840 has 216 divisors, whose sum is σ = 367331328. Its totient is φ = 27095040.

The previous prime is 103875839. The next prime is 103875857. The reversal of 103875840 is 48578301.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 103875795 and 103875804.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 817857 + ... + 817983.

It is an arithmetic number, because the mean of its divisors is an integer number (1700608).

Almost surely, 2^103875840 is an apocalyptic number.

103875840 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 103875840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183665664).

103875840 is an abundant number, since it is smaller than the sum of its proper divisors (263455488).

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

103875840 is a wasteful number, since it uses less digits than its factorization.

103875840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The square root of 103875840 is about 10191.9497643974. The cubic root of 103875840 is about 470.0797208969.

The spelling of 103875840 in words is "one hundred three million, eight hundred seventy-five thousand, eight hundred forty".