103942960 has 80 divisors (see below), whose sum is σ = 272795040. Its totient is φ = 36485120.

The previous prime is 103942921. The next prime is 103942961. The reversal of 103942960 is 69249301.

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 (34) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (103942961) 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, 23484 + ... + 27556.

It is an arithmetic number, because the mean of its divisors is an integer number (3409938).

Almost surely, 2^103942960 is an apocalyptic number.

103942960 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 103942960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136397520).

103942960 is an abundant number, since it is smaller than the sum of its proper divisors (168852080).

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

103942960 is a wasteful number, since it uses less digits than its factorization.

103942960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4126 (or 4120 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 34.

The square root of 103942960 is about 10195.2420275342. The cubic root of 103942960 is about 470.1809473788.

The spelling of 103942960 in words is "one hundred three million, nine hundred forty-two thousand, nine hundred sixty".