42108192 has 72 divisors (see below), whose sum is σ = 136858176. Its totient is φ = 12030336.

The previous prime is 42108191. The next prime is 42108211. The reversal of 42108192 is 29180124.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (42108191) 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 11 ways as a sum of consecutive naturals, for example, 8428 + ... + 12459.

It is an arithmetic number, because the mean of its divisors is an integer number (1900808).

Almost surely, 2^42108192 is an apocalyptic number.

42108192 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is an amenable number.

42108192 is an abundant number, since it is smaller than the sum of its proper divisors (94749984).

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

42108192 is a wasteful number, since it uses less digits than its factorization.

42108192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20910 (or 20899 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 42108192 is about 6489.0825237471. The cubic root of 42108192 is about 347.9008833857.

The spelling of 42108192 in words is "forty-two million, one hundred eight thousand, one hundred ninety-two".