105945675 has 48 divisors (see below), whose sum is σ = 194773248. Its totient is φ = 50377600.

The previous prime is 105945647. The next prime is 105945709. The reversal of 105945675 is 576549501.

It is not a de Polignac number, because 105945675 - 2⁵ = 105945643 is a prime.

It is a super-2 number, since 2×105945675² = 22448972102411250, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42514 + ... + 44936.

It is an arithmetic number, because the mean of its divisors is an integer number (4057776).

Almost surely, 2^105945675 is an apocalyptic number.

105945675 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

105945675 is a deficient number, since it is larger than the sum of its proper divisors (88827573).

105945675 is a wasteful number, since it uses less digits than its factorization.

105945675 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2500 (or 2495 counting only the distinct ones).

The product of its (nonzero) digits is 189000, while the sum is 42.

The square root of 105945675 is about 10292.9915476503. The cubic root of 105945675 is about 473.1814863161.

The spelling of 105945675 in words is "one hundred five million, nine hundred forty-five thousand, six hundred seventy-five".