100085843525 has 24 divisors (see below), whose sum is σ = 130767954720. Its totient is φ = 75779288640.

The previous prime is 100085843483. The next prime is 100085843531. The reversal of 100085843525 is 525348580001.

It is not a de Polignac number, because 100085843525 - 2⁶ = 100085843461 is a prime.

It is a super-2 number, since 2×100085843525² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 377174 + ... + 585176.

It is an arithmetic number, because the mean of its divisors is an integer number (5448664780).

Almost surely, 2^100085843525 is an apocalyptic number.

It is an amenable number.

100085843525 is a deficient number, since it is larger than the sum of its proper divisors (30682111195).

100085843525 is a wasteful number, since it uses less digits than its factorization.

100085843525 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209045 (or 209040 counting only the distinct ones).

The product of its (nonzero) digits is 192000, while the sum is 41.

The spelling of 100085843525 in words is "one hundred billion, eighty-five million, eight hundred forty-three thousand, five hundred twenty-five".