100085753 has 2 divisors, whose sum is σ = 100085754. Its totient is φ = 100085752.

The previous prime is 100085743. The next prime is 100085759. The reversal of 100085753 is 357580001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 86638864 + 13446889 = 9308^2 + 3667^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-100085753 is a prime.

It is not a weakly prime, because it can be changed into another prime (100085759) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50042876 + 50042877.

It is an arithmetic number, because the mean of its divisors is an integer number (50042877).

Almost surely, 2^100085753 is an apocalyptic number.

It is an amenable number.

100085753 is a deficient number, since it is larger than the sum of its proper divisors (1).

100085753 is an equidigital number, since it uses as much as digits as its factorization.

100085753 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4200, while the sum is 29.

The square root of 100085753 is about 10004.2867311968. The cubic root of 100085753 is about 464.2915221770.

The spelling of 100085753 in words is "one hundred million, eighty-five thousand, seven hundred fifty-three".