100585332 has 36 divisors (see below), whose sum is σ = 254619456. Its totient is φ = 33480720.

The previous prime is 100585327. The next prime is 100585339. The reversal of 100585332 is 233585001.

It is a tau number, because it is divible by the number of its divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 100585296 and 100585305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100585339) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 31263 + ... + 34329.

Almost surely, 2^100585332 is an apocalyptic number.

100585332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100585332 is an abundant number, since it is smaller than the sum of its proper divisors (154034124).

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

100585332 is a wasteful number, since it uses less digits than its factorization.

100585332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3988 (or 3983 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 100585332 is about 10029.2238981887. The cubic root of 100585332 is about 465.0627456085.

The spelling of 100585332 in words is "one hundred million, five hundred eighty-five thousand, three hundred thirty-two".