100085744 has 20 divisors (see below), whose sum is σ = 211545240. Its totient is φ = 45493440.

The previous prime is 100085743. The next prime is 100085753. The reversal of 100085744 is 447580001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100085743) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 284159 + ... + 284510.

It is an arithmetic number, because the mean of its divisors is an integer number (10577262).

Almost surely, 2^100085744 is an apocalyptic number.

It is an amenable number.

100085744 is an abundant number, since it is smaller than the sum of its proper divisors (111459496).

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

100085744 is a wasteful number, since it uses less digits than its factorization.

100085744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568688 (or 568682 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 29.

The square root of 100085744 is about 10004.2862813896. The cubic root of 100085744 is about 464.2915082602.

The spelling of 100085744 in words is "one hundred million, eighty-five thousand, seven hundred forty-four".