105313135 has 8 divisors (see below), whose sum is σ = 129064896. Its totient is φ = 82457760.

The previous prime is 105313129. The next prime is 105313141. The reversal of 105313135 is 531313501.

105313135 = 219² + 220² + ... + 688².

It is an interprime number because it is at equal distance from previous prime (105313129) and next prime (105313141).

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

It is not a de Polignac number, because 105313135 - 2¹³ = 105304943 is a prime.

It is a super-2 number, since 2×105313135² = 22181712807056450, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 223836 + ... + 224305.

It is an arithmetic number, because the mean of its divisors is an integer number (16133112).

Almost surely, 2^105313135 is an apocalyptic number.

105313135 is a deficient number, since it is larger than the sum of its proper divisors (23751761).

105313135 is an equidigital number, since it uses as much as digits as its factorization.

105313135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448193.

The product of its (nonzero) digits is 675, while the sum is 22.

The square root of 105313135 is about 10262.2188146619. The cubic root of 105313135 is about 472.2379088266.

Adding to 105313135 its reverse (531313501), we get a palindrome (636626636).

The spelling of 105313135 in words is "one hundred five million, three hundred thirteen thousand, one hundred thirty-five".