105075265 has 16 divisors (see below), whose sum is σ = 130772880. Its totient is φ = 80953600.

The previous prime is 105075259. The next prime is 105075281. The reversal of 105075265 is 562570501.

It can be written as a sum of positive squares in 8 ways, for example, as 40947201 + 64128064 = 6399^2 + 8008^2 .

It is not a de Polignac number, because 105075265 - 2⁷ = 105075137 is a prime.

It is a super-2 number, since 2×105075265² = 22081622629640450, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80115 + ... + 81415.

It is an arithmetic number, because the mean of its divisors is an integer number (8173305).

Almost surely, 2^105075265 is an apocalyptic number.

It is an amenable number.

105075265 is a deficient number, since it is larger than the sum of its proper divisors (25697615).

105075265 is a wasteful number, since it uses less digits than its factorization.

105075265 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1892.

The product of its (nonzero) digits is 10500, while the sum is 31.

The square root of 105075265 is about 10250.6226640141. The cubic root of 105075265 is about 471.8820940413.

The spelling of 105075265 in words is "one hundred five million, seventy-five thousand, two hundred sixty-five".