101085084 has 36 divisors (see below), whose sum is σ = 264986904. Its totient is φ = 33694704.

The previous prime is 101085067. The next prime is 101085091. The reversal of 101085084 is 480580101.

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

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 51027 + ... + 52970.

Almost surely, 2^101085084 is an apocalyptic number.

It is an amenable number.

101085084 is an abundant number, since it is smaller than the sum of its proper divisors (163901820).

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

101085084 is a wasteful number, since it uses less digits than its factorization.

101085084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104016 (or 104002 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 27.

The square root of 101085084 is about 10054.1078172059. The cubic root of 101085084 is about 465.8316853624.

The spelling of 101085084 in words is "one hundred one million, eighty-five thousand, eighty-four".