42103968 has 48 divisors (see below), whose sum is σ = 117028800. Its totient is φ = 13208576.

The previous prime is 42103949. The next prime is 42103979. The reversal of 42103968 is 86930124.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11268 + ... + 14531.

It is an arithmetic number, because the mean of its divisors is an integer number (2438100).

Almost surely, 2^42103968 is an apocalyptic number.

42103968 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

42103968 is an abundant number, since it is smaller than the sum of its proper divisors (74924832).

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

42103968 is a wasteful number, since it uses less digits than its factorization.

42103968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25829 (or 25821 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The square root of 42103968 is about 6488.7570458448. The cubic root of 42103968 is about 347.8892500003.

It can be divided in two parts, 42103 and 968, that multiplied together give a palindrome (40755704).

The spelling of 42103968 in words is "forty-two million, one hundred three thousand, nine hundred sixty-eight".