105149785 has 8 divisors (see below), whose sum is σ = 135885960. Its totient is φ = 77649024.

The previous prime is 105149773. The next prime is 105149797. The reversal of 105149785 is 587941501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (105149773) and next prime (105149797).

It can be written as a sum of positive squares in 4 ways, for example, as 8874441 + 96275344 = 2979^2 + 9812^2 .

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 105149785 - 2⁵ = 105149753 is a prime.

It is a super-2 number, since 2×105149785² = 22112954571092450, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 808780 + ... + 808909.

It is an arithmetic number, because the mean of its divisors is an integer number (16985745).

Almost surely, 2^105149785 is an apocalyptic number.

It is an amenable number.

105149785 is a deficient number, since it is larger than the sum of its proper divisors (30736175).

105149785 is a wasteful number, since it uses less digits than its factorization.

105149785 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1617707.

The product of its (nonzero) digits is 50400, while the sum is 40.

The square root of 105149785 is about 10254.2569209085. The cubic root of 105149785 is about 471.9936215383.

The spelling of 105149785 in words is "one hundred five million, one hundred forty-nine thousand, seven hundred eighty-five".