105102705 has 16 divisors (see below), whose sum is σ = 169709760. Its totient is φ = 55539648.

The previous prime is 105102703. The next prime is 105102713. The reversal of 105102705 is 507201501.

It is not a de Polignac number, because 105102705 - 2¹ = 105102703 is a prime.

It is a super-2 number, since 2×105102705² = 22093157196634050, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105102703) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30507 + ... + 33776.

It is an arithmetic number, because the mean of its divisors is an integer number (10606860).

Almost surely, 2^105102705 is an apocalyptic number.

105102705 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105102705 is a deficient number, since it is larger than the sum of its proper divisors (64607055).

105102705 is a wasteful number, since it uses less digits than its factorization.

105102705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64400.

The product of its (nonzero) digits is 350, while the sum is 21.

The square root of 105102705 is about 10251.9610319197. The cubic root of 105102705 is about 471.9231671954.

The spelling of 105102705 in words is "one hundred five million, one hundred two thousand, seven hundred five".