105318521 has 12 divisors (see below), whose sum is σ = 132302016. Its totient is φ = 82065720.

The previous prime is 105318511. The next prime is 105318527. The reversal of 105318521 is 125813501.

It is a happy number.

It is not a de Polignac number, because 105318521 - 2¹⁰ = 105317497 is a prime.

It is a super-2 number, since 2×105318521² = 22183981731254882, which contains 22 as substring.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105318527) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61325 + ... + 63018.

It is an arithmetic number, because the mean of its divisors is an integer number (11025168).

Almost surely, 2^105318521 is an apocalyptic number.

105318521 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105318521 is a deficient number, since it is larger than the sum of its proper divisors (26983495).

105318521 is a wasteful number, since it uses less digits than its factorization.

105318521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124372 (or 124361 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 26.

The square root of 105318521 is about 10262.4812301899. The cubic root of 105318521 is about 472.2459591995.

The spelling of 105318521 in words is "one hundred five million, three hundred eighteen thousand, five hundred twenty-one".