100085523858 has 32 divisors (see below), whose sum is σ = 227836969920. Its totient is φ = 32548137120.

The previous prime is 100085523851. The next prime is 100085523871. The reversal of 100085523858 is 858325580001.

100085523858 is a `hidden beast` number, since 10 + 0 + 0 + 8 + 552 + 3 + 85 + 8 = 666.

It is a super-2 number, since 2×100085523858² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (100085523851) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22600660 + ... + 22605087.

It is an arithmetic number, because the mean of its divisors is an integer number (7119905310).

Almost surely, 2^100085523858 is an apocalyptic number.

100085523858 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

100085523858 is an abundant number, since it is smaller than the sum of its proper divisors (127751446062).

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

100085523858 is a wasteful number, since it uses less digits than its factorization.

100085523858 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45205799 (or 45205793 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 45.

The spelling of 100085523858 in words is "one hundred billion, eighty-five million, five hundred twenty-three thousand, eight hundred fifty-eight".