105385177 has 8 divisors (see below), whose sum is σ = 106457472. Its totient is φ = 104317200.

The previous prime is 105385127. The next prime is 105385207. The reversal of 105385177 is 771583501.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105385177 is a prime.

It is a super-2 number, since 2×105385177² = 22212071062642658, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105385127) 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, 70128 + ... + 71614.

It is an arithmetic number, because the mean of its divisors is an integer number (13307184).

Almost surely, 2^105385177 is an apocalyptic number.

It is an amenable number.

105385177 is a deficient number, since it is larger than the sum of its proper divisors (1072295).

105385177 is a wasteful number, since it uses less digits than its factorization.

105385177 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2159.

The product of its (nonzero) digits is 29400, while the sum is 37.

The square root of 105385177 is about 10265.7282742142. The cubic root of 105385177 is about 472.3455662071.

The spelling of 105385177 in words is "one hundred five million, three hundred eighty-five thousand, one hundred seventy-seven".