100585853253 has 12 divisors (see below), whose sum is σ = 145914245100. Its totient is φ = 66769434816.

The previous prime is 100585853219. The next prime is 100585853279. The reversal of 100585853253 is 352358585001.

100585853253 is a `hidden beast` number, since 10 + 0 + 5 + 8 + 58 + 532 + 53 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 34876683009 + 65709170244 = 186753^2 + 256338^2 .

It is not a de Polignac number, because 100585853253 - 2¹² = 100585849157 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100585853199 and 100585853208.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100585853153) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 23981178 + ... + 23985371.

It is an arithmetic number, because the mean of its divisors is an integer number (12159520425).

Almost surely, 2^100585853253 is an apocalyptic number.

It is an amenable number.

100585853253 is a deficient number, since it is larger than the sum of its proper divisors (45328391847).

100585853253 is a wasteful number, since it uses less digits than its factorization.

100585853253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47966788 (or 47966785 counting only the distinct ones).

The product of its (nonzero) digits is 720000, while the sum is 45.

The spelling of 100585853253 in words is "one hundred billion, five hundred eighty-five million, eight hundred fifty-three thousand, two hundred fifty-three".