100827585753 has 8 divisors (see below), whose sum is σ = 134439062016. Its totient is φ = 67217250000.

The previous prime is 100827585739. The next prime is 100827585773. The reversal of 100827585753 is 357585728001.

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

It is not a de Polignac number, because 100827585753 - 2⁵ = 100827585721 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100827585696 and 100827585705.

It is not an unprimeable number, because it can be changed into a prime (100827585773) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51498 + ... + 452003.

It is an arithmetic number, because the mean of its divisors is an integer number (16804882752).

Almost surely, 2^100827585753 is an apocalyptic number.

It is an amenable number.

100827585753 is a deficient number, since it is larger than the sum of its proper divisors (33611476263).

100827585753 is an equidigital number, since it uses as much as digits as its factorization.

100827585753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 570255.

The product of its (nonzero) digits is 2352000, while the sum is 51.

The spelling of 100827585753 in words is "one hundred billion, eight hundred twenty-seven million, five hundred eighty-five thousand, seven hundred fifty-three".