100842005 has 24 divisors (see below), whose sum is σ = 138813696. Its totient is φ = 70141280.

The previous prime is 100841989. The next prime is 100842013. The reversal of 100842005 is 500248001.

It is not a de Polignac number, because 100842005 - 2⁴ = 100841989 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 10292 + ... + 17538.

It is an arithmetic number, because the mean of its divisors is an integer number (5783904).

Almost surely, 2^100842005 is an apocalyptic number.

It is an amenable number.

100842005 is a deficient number, since it is larger than the sum of its proper divisors (37971691).

100842005 is a wasteful number, since it uses less digits than its factorization.

100842005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7297 (or 7286 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 20.

The square root of 100842005 is about 10042.0119995945. The cubic root of 100842005 is about 465.4579909734.

The spelling of 100842005 in words is "one hundred million, eight hundred forty-two thousand, five".