100205253 has 6 divisors (see below), whose sum is σ = 144740934. Its totient is φ = 66803496.

The previous prime is 100205251. The next prime is 100205257. The reversal of 100205253 is 352502001.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 98843364 + 1361889 = 9942^2 + 1167^2 .

It is not a de Polignac number, because 100205253 - 2¹ = 100205251 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100205251) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5566950 + ... + 5566967.

It is an arithmetic number, because the mean of its divisors is an integer number (24123489).

Almost surely, 2^100205253 is an apocalyptic number.

It is an amenable number.

100205253 is a deficient number, since it is larger than the sum of its proper divisors (44535681).

100205253 is a wasteful number, since it uses less digits than its factorization.

100205253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11133923 (or 11133920 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 100205253 is about 10010.2573892982. The cubic root of 100205253 is about 464.4762330146.

Adding to 100205253 its reverse (352502001), we get a palindrome (452707254).

The spelling of 100205253 in words is "one hundred million, two hundred five thousand, two hundred fifty-three".