105360345 has 40 divisors (see below), whose sum is σ = 190185864. Its totient is φ = 55800576.

The previous prime is 105360341. The next prime is 105360347. The reversal of 105360345 is 543063501.

105360345 is a `hidden beast` number, since 1 + 0 + 53 + 603 + 4 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1565001 + 103795344 = 1251^2 + 10188^2 .

It is not a de Polignac number, because 105360345 - 2² = 105360341 is a prime.

It is a super-2 number, since 2×105360345² = 22201604597038050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (105360341) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 62757 + ... + 64413.

Almost surely, 2^105360345 is an apocalyptic number.

105360345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105360345 is a deficient number, since it is larger than the sum of its proper divisors (84825519).

105360345 is a wasteful number, since it uses less digits than its factorization.

105360345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1831 (or 1822 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 105360345 is about 10264.5187417628. The cubic root of 105360345 is about 472.3084635620.

The spelling of 105360345 in words is "one hundred five million, three hundred sixty thousand, three hundred forty-five".