105075045 has 24 divisors (see below), whose sum is σ = 192845016. Its totient is φ = 52743168.

The previous prime is 105075037. The next prime is 105075059. The reversal of 105075045 is 540570501.

It can be written as a sum of positive squares in 4 ways, for example, as 10246401 + 94828644 = 3201^2 + 9738^2 .

It is not a de Polignac number, because 105075045 - 2³ = 105075037 is a prime.

It is a super-2 number, since 2×105075045² = 22081530163504050, which contains 22 as substring.

It is a congruent number.

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, 67912 + ... + 69441.

It is an arithmetic number, because the mean of its divisors is an integer number (8035209).

Almost surely, 2^105075045 is an apocalyptic number.

105075045 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105075045 is a deficient number, since it is larger than the sum of its proper divisors (87769971).

105075045 is a wasteful number, since it uses less digits than its factorization.

105075045 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137381 (or 137378 counting only the distinct ones).

The product of its (nonzero) digits is 3500, while the sum is 27.

The square root of 105075045 is about 10250.6119329531. The cubic root of 105075045 is about 471.8817647087.

The spelling of 105075045 in words is "one hundred five million, seventy-five thousand, forty-five".