890100042 has 64 divisors (see below), whose sum is σ = 2038224384. Its totient is φ = 256711680.

The previous prime is 890100041. The next prime is 890100047. The reversal of 890100042 is 240001098.

890100042 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 890099985 and 890100021.

It is not an unprimeable number, because it can be changed into a prime (890100041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 358108 + ... + 360584.

It is an arithmetic number, because the mean of its divisors is an integer number (31847256).

Almost surely, 2^890100042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 890100042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1019112192).

890100042 is an abundant number, since it is smaller than the sum of its proper divisors (1148124342).

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

890100042 is a wasteful number, since it uses less digits than its factorization.

890100042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2783.

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 890100042 is about 29834.5444409664. The cubic root of 890100042 is about 961.9362116120.

The spelling of 890100042 in words is "eight hundred ninety million, one hundred thousand, forty-two".