103959240 has 128 divisors (see below), whose sum is σ = 388869120. Its totient is φ = 21600000.

The previous prime is 103959221. The next prime is 103959259. The reversal of 103959240 is 42959301.

It is an interprime number because it is at equal distance from previous prime (103959221) and next prime (103959259).

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 3615 + ... + 14865.

It is an arithmetic number, because the mean of its divisors is an integer number (3038040).

Almost surely, 2^103959240 is an apocalyptic number.

103959240 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 103959240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194434560).

103959240 is an abundant number, since it is smaller than the sum of its proper divisors (284909880).

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

103959240 is a wasteful number, since it uses less digits than its factorization.

103959240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11283 (or 11279 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 103959240 is about 10196.0404079231. The cubic root of 103959240 is about 470.2054933613.

The spelling of 103959240 in words is "one hundred three million, nine hundred fifty-nine thousand, two hundred forty".