105405345 has 24 divisors (see below), whose sum is σ = 183134952. Its totient is φ = 56083200.

The previous prime is 105405337. The next prime is 105405371. The reversal of 105405345 is 543504501.

It can be written as a sum of positive squares in 4 ways, for example, as 76176 + 105329169 = 276^2 + 10263^2 .

It is not a de Polignac number, because 105405345 - 2³ = 105405337 is a prime.

It is a super-2 number, since 2×105405345² = 22220573509138050, which contains 22 as substring.

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, 18205 + ... + 23285.

It is an arithmetic number, because the mean of its divisors is an integer number (7630623).

Almost surely, 2^105405345 is an apocalyptic number.

105405345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105405345 is a deficient number, since it is larger than the sum of its proper divisors (77729607).

105405345 is a wasteful number, since it uses less digits than its factorization.

105405345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5553 (or 5550 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 27.

The square root of 105405345 is about 10266.7105247981. The cubic root of 105405345 is about 472.3756958643.

Adding to 105405345 its reverse (543504501), we get a palindrome (648909846).

It can be divided in two parts, 105 and 405345, that added together give a triangular number (405450 = T₉₀₀).

The spelling of 105405345 in words is "one hundred five million, four hundred five thousand, three hundred forty-five".