105199263 has 64 divisors (see below), whose sum is σ = 178375680. Its totient is φ = 60787584.

The previous prime is 105199261. The next prime is 105199331. The reversal of 105199263 is 362991501.

It is not a de Polignac number, because 105199263 - 2¹ = 105199261 is a prime.

It is a super-2 number, since 2×105199263² = 22133769871486338, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105199261) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 669981 + ... + 670137.

It is an arithmetic number, because the mean of its divisors is an integer number (2787120).

Almost surely, 2^105199263 is an apocalyptic number.

105199263 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

105199263 is a deficient number, since it is larger than the sum of its proper divisors (73176417).

105199263 is a wasteful number, since it uses less digits than its factorization.

105199263 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 14580, while the sum is 36.

The square root of 105199263 is about 10256.6691961865. The cubic root of 105199263 is about 472.0676417829.

The spelling of 105199263 in words is "one hundred five million, one hundred ninety-nine thousand, two hundred sixty-three".