105253315 has 8 divisors (see below), whose sum is σ = 128189520. Its totient is φ = 82945632.

The previous prime is 105253303. The next prime is 105253319. The reversal of 105253315 is 513352501.

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 105253315 - 2²⁵ = 71698883 is a prime.

It is a super-2 number, since 2×105253315² = 22156520636978450, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105253315.

It is not an unprimeable number, because it can be changed into a prime (105253319) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 156760 + ... + 157429.

It is an arithmetic number, because the mean of its divisors is an integer number (16023690).

Almost surely, 2^105253315 is an apocalyptic number.

105253315 is a deficient number, since it is larger than the sum of its proper divisors (22936205).

105253315 is an equidigital number, since it uses as much as digits as its factorization.

105253315 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314261.

The product of its (nonzero) digits is 2250, while the sum is 25.

The square root of 105253315 is about 10259.3038262837. The cubic root of 105253315 is about 472.1484783166.

The spelling of 105253315 in words is "one hundred five million, two hundred fifty-three thousand, three hundred fifteen".