100585842 has 64 divisors (see below), whose sum is σ = 236390400. Its totient is φ = 27941760.

The previous prime is 100585819. The next prime is 100585843. The reversal of 100585842 is 248585001.

It is a super-2 number, since 2×100585842² = 20235023221697928, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100585843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 265209 + ... + 265587.

It is an arithmetic number, because the mean of its divisors is an integer number (3693600).

Almost surely, 2^100585842 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100585842, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118195200).

100585842 is an abundant number, since it is smaller than the sum of its proper divisors (135804558).

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

100585842 is a wasteful number, since it uses less digits than its factorization.

100585842 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551.

The product of its (nonzero) digits is 12800, while the sum is 33.

The square root of 100585842 is about 10029.2493238527. The cubic root of 100585842 is about 465.0635316131.

The spelling of 100585842 in words is "one hundred million, five hundred eighty-five thousand, eight hundred forty-two".