100080585836 has 96 divisors (see below), whose sum is σ = 229070177280. Its totient is φ = 37117382400.

The previous prime is 100080585833. The next prime is 100080585889. The reversal of 100080585836 is 638585080001.

It is a super-2 number, since 2×100080585836² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (100080585833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 555266 + ... + 713078.

It is an arithmetic number, because the mean of its divisors is an integer number (2386147680).

Almost surely, 2^100080585836 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100080585836, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114535088640).

100080585836 is an abundant number, since it is smaller than the sum of its proper divisors (128989591444).

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

100080585836 is a wasteful number, since it uses less digits than its factorization.

100080585836 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157935 (or 157933 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 44.

The spelling of 100080585836 in words is "one hundred billion, eighty million, five hundred eighty-five thousand, eight hundred thirty-six".