100105253 has 6 divisors (see below), whose sum is σ = 102282726. Its totient is φ = 97973192.

The previous prime is 100105249. The next prime is 100105259. The reversal of 100105253 is 352501001.

It can be written as a sum of positive squares in only one way, i.e., 80586529 + 19518724 = 8977^2 + 4418^2 .

It is not a de Polignac number, because 100105253 - 2² = 100105249 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100105259) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 20450 + ... + 24867.

It is an arithmetic number, because the mean of its divisors is an integer number (17047121).

Almost surely, 2^100105253 is an apocalyptic number.

It is an amenable number.

100105253 is a deficient number, since it is larger than the sum of its proper divisors (2177473).

100105253 is an frugal number, since it uses more digits than its factorization.

100105253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45411 (or 45364 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 17.

The square root of 100105253 is about 10005.2612659540. The cubic root of 100105253 is about 464.3216733107.

Adding to 100105253 its reverse (352501001), we get a palindrome (452606254).

The spelling of 100105253 in words is "one hundred million, one hundred five thousand, two hundred fifty-three".