100085825441 has 8 divisors (see below), whose sum is σ = 114386080320. Its totient is φ = 85786140528.

The previous prime is 100085825431. The next prime is 100085825443. The reversal of 100085825441 is 144528580001.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 100085825441 - 2²² = 100081631137 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 100085825395 and 100085825404.

It is not an unprimeable number, because it can be changed into a prime (100085825443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 344990 + ... + 564968.

It is an arithmetic number, because the mean of its divisors is an integer number (14298260040).

Almost surely, 2^100085825441 is an apocalyptic number.

It is an amenable number.

100085825441 is a deficient number, since it is larger than the sum of its proper divisors (14300254879).

100085825441 is an equidigital number, since it uses as much as digits as its factorization.

100085825441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284983.

The product of its (nonzero) digits is 51200, while the sum is 38.

The spelling of 100085825441 in words is "one hundred billion, eighty-five million, eight hundred twenty-five thousand, four hundred forty-one".