105191253 has 6 divisors (see below), whose sum is σ = 151942934. Its totient is φ = 70127496.

The previous prime is 105191249. The next prime is 105191263. The reversal of 105191253 is 352191501.

It can be written as a sum of positive squares in only one way, i.e., 87272964 + 17918289 = 9342^2 + 4233^2 .

It is not a de Polignac number, because 105191253 - 2² = 105191249 is a prime.

It is a super-2 number, since 2×105191253² = 22130399415420018, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105191243) 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, 5843950 + ... + 5843967.

Almost surely, 2^105191253 is an apocalyptic number.

It is an amenable number.

105191253 is a deficient number, since it is larger than the sum of its proper divisors (46751681).

105191253 is a wasteful number, since it uses less digits than its factorization.

105191253 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11687923 (or 11687920 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 27.

The square root of 105191253 is about 10256.2787111116. The cubic root of 105191253 is about 472.0556602105.

The spelling of 105191253 in words is "one hundred five million, one hundred ninety-one thousand, two hundred fifty-three".