103980240 has 480 divisors, whose sum is σ = 460803840. Its totient is φ = 20984832.

The previous prime is 103980229. The next prime is 103980257. The reversal of 103980240 is 42089301.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4520869 + ... + 4520891.

It is an arithmetic number, because the mean of its divisors is an integer number (960008).

Almost surely, 2^103980240 is an apocalyptic number.

103980240 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 103980240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230401920).

103980240 is an abundant number, since it is smaller than the sum of its proper divisors (356823600).

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

103980240 is a wasteful number, since it uses less digits than its factorization.

103980240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 103980240 is about 10197.0701674550. The cubic root of 103980240 is about 470.2371520849.

The spelling of 103980240 in words is "one hundred three million, nine hundred eighty thousand, two hundred forty".