105056105 has 32 divisors (see below), whose sum is σ = 158450688. Its totient is φ = 64958400.

The previous prime is 105056101. The next prime is 105056137. The reversal of 105056105 is 501650501.

It is not a de Polignac number, because 105056105 - 2² = 105056101 is a prime.

It is a super-2 number, since 2×105056105² = 22073570395542050, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105056101) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 49394 + ... + 51476.

It is an arithmetic number, because the mean of its divisors is an integer number (4951584).

Almost surely, 2^105056105 is an apocalyptic number.

It is an amenable number.

105056105 is a deficient number, since it is larger than the sum of its proper divisors (53394583).

105056105 is a wasteful number, since it uses less digits than its factorization.

105056105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2237.

The product of its (nonzero) digits is 750, while the sum is 23.

The square root of 105056105 is about 10249.6880440333. The cubic root of 105056105 is about 471.8534104416.

The spelling of 105056105 in words is "one hundred five million, fifty-six thousand, one hundred five".