105147385 has 24 divisors (see below), whose sum is σ = 147251520. Its totient is φ = 71868384.

The previous prime is 105147373. The next prime is 105147391. The reversal of 105147385 is 583741501.

It is a happy number.

It is not a de Polignac number, because 105147385 - 2⁵ = 105147353 is a prime.

It is a super-2 number, since 2×105147385² = 22111945144676450, 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 105147385.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 113956 + ... + 114874.

It is an arithmetic number, because the mean of its divisors is an integer number (6135480).

Almost surely, 2^105147385 is an apocalyptic number.

It is an amenable number.

105147385 is a deficient number, since it is larger than the sum of its proper divisors (42104135).

105147385 is an equidigital number, since it uses as much as digits as its factorization.

105147385 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1405 (or 1398 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 34.

The square root of 105147385 is about 10254.1398956714. The cubic root of 105147385 is about 471.9900304918.

Adding to 105147385 its reverse (583741501), we get a palindrome (688888886).

The spelling of 105147385 in words is "one hundred five million, one hundred forty-seven thousand, three hundred eighty-five".