100585001 has 8 divisors (see below), whose sum is σ = 110637408. Its totient is φ = 91439700.

The previous prime is 100584973. The next prime is 100585087.

100585001 is nontrivially palindromic in base 10.

It is a de Polignac number, because none of the positive numbers 2^k-100585001 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100585801) 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 7 ways as a sum of consecutive naturals, for example, 36455 + ... + 39116.

It is an arithmetic number, because the mean of its divisors is an integer number (13829676).

Almost surely, 2^100585001 is an apocalyptic number.

100585001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

100585001 is a deficient number, since it is larger than the sum of its proper divisors (10052407).

100585001 is an frugal number, since it uses more digits than its factorization.

100585001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75604 (or 75582 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 20.

The square root of 100585001 is about 10029.2073963998. The cubic root of 100585001 is about 465.0622354747.

The spelling of 100585001 in words is "one hundred million, five hundred eighty-five thousand, one".