100085328 has 160 divisors (see below), whose sum is σ = 342835200. Its totient is φ = 27333504.

The previous prime is 100085317. The next prime is 100085347. The reversal of 100085328 is 823580001.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 68833 + ... + 70271.

It is an arithmetic number, because the mean of its divisors is an integer number (2142720).

Almost surely, 2^100085328 is an apocalyptic number.

100085328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100085328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171417600).

100085328 is an abundant number, since it is smaller than the sum of its proper divisors (242749872).

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

100085328 is a wasteful number, since it uses less digits than its factorization.

100085328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1486 (or 1474 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 100085328 is about 10004.2654902796. The cubic root of 100085328 is about 464.2908649933.

The spelling of 100085328 in words is "one hundred million, eighty-five thousand, three hundred twenty-eight".