105813253 has 16 divisors (see below), whose sum is σ = 137894400. Its totient is φ = 78794496.

The previous prime is 105813247. The next prime is 105813269. The reversal of 105813253 is 352318501.

It is a cyclic number.

It is not a de Polignac number, because 105813253 - 2⁵ = 105813221 is a prime.

It is a super-2 number, since 2×105813253² = 22392889020884018, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105813203) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32653 + ... + 35746.

It is an arithmetic number, because the mean of its divisors is an integer number (8618400).

Almost surely, 2^105813253 is an apocalyptic number.

105813253 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

105813253 is a deficient number, since it is larger than the sum of its proper divisors (32081147).

105813253 is a wasteful number, since it uses less digits than its factorization.

105813253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68436.

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 105813253 is about 10286.5569069539. The cubic root of 105813253 is about 472.9842601964.

The spelling of 105813253 in words is "one hundred five million, eight hundred thirteen thousand, two hundred fifty-three".