105313521 has 8 divisors (see below), whose sum is σ = 148677984. Its totient is φ = 66079040.

The previous prime is 105313513. The next prime is 105313531. The reversal of 105313521 is 125313501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105313521 - 2³ = 105313513 is a prime.

It is a super-2 number, since 2×105313521² = 22181875410834882, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105313501) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1032435 + ... + 1032536.

It is an arithmetic number, because the mean of its divisors is an integer number (18584748).

Almost surely, 2^105313521 is an apocalyptic number.

It is an amenable number.

105313521 is a deficient number, since it is larger than the sum of its proper divisors (43364463).

105313521 is a wasteful number, since it uses less digits than its factorization.

105313521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2064991.

The product of its (nonzero) digits is 450, while the sum is 21.

The square root of 105313521 is about 10262.2376214937. The cubic root of 105313521 is about 472.2384857841.

The spelling of 105313521 in words is "one hundred five million, three hundred thirteen thousand, five hundred twenty-one".