103075840 has 104 divisors (see below), whose sum is σ = 283080960. Its totient is φ = 35291136.

The previous prime is 103075823. The next prime is 103075849. The reversal of 103075840 is 48570301.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 103075799 and 103075808.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103075849) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 143001 + ... + 143719.

Almost surely, 2^103075840 is an apocalyptic number.

103075840 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 103075840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141540480).

103075840 is an abundant number, since it is smaller than the sum of its proper divisors (180005120).

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

103075840 is an frugal number, since it uses more digits than its factorization.

103075840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 755 (or 733 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 28.

The square root of 103075840 is about 10152.6272461861. The cubic root of 103075840 is about 468.8698362649.

The spelling of 103075840 in words is "one hundred three million, seventy-five thousand, eight hundred forty".