100085832 has 144 divisors (see below), whose sum is σ = 344120400. Its totient is φ = 25986240.

The previous prime is 100085827. The next prime is 100085837. The reversal of 100085832 is 238580001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (100085827) and next prime (100085837).

It is a junction number, because it is equal to n+sod(n) for n = 100085796 and 100085805.

It is not an unprimeable number, because it can be changed into a prime (100085837) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 37519 + ... + 40097.

It is an arithmetic number, because the mean of its divisors is an integer number (2389725).

Almost surely, 2^100085832 is an apocalyptic number.

100085832 is a gapful number since it is divisible by the number (12) 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 100085832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172060200).

100085832 is an abundant number, since it is smaller than the sum of its proper divisors (244034568).

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

100085832 is a wasteful number, since it uses less digits than its factorization.

100085832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2616 (or 2602 counting only the distinct ones).

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

The square root of 100085832 is about 10004.2906795035. The cubic root of 100085832 is about 464.2916443356.

The spelling of 100085832 in words is "one hundred million, eighty-five thousand, eight hundred thirty-two".