105072705 has 12 divisors (see below), whose sum is σ = 182126100. Its totient is φ = 56038752.

The previous prime is 105072697. The next prime is 105072719. The reversal of 105072705 is 507270501.

It can be written as a sum of positive squares in 2 ways, for example, as 73667889 + 31404816 = 8583^2 + 5604^2 .

It is not a de Polignac number, because 105072705 - 2³ = 105072697 is a prime.

It is a super-2 number, since 2×105072705² = 22080546672034050, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1167430 + ... + 1167519.

It is an arithmetic number, because the mean of its divisors is an integer number (15177175).

Almost surely, 2^105072705 is an apocalyptic number.

105072705 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

105072705 is a deficient number, since it is larger than the sum of its proper divisors (77053395).

105072705 is a wasteful number, since it uses less digits than its factorization.

105072705 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2334960 (or 2334957 counting only the distinct ones).

The product of its (nonzero) digits is 2450, while the sum is 27.

The square root of 105072705 is about 10250.4977927904. The cubic root of 105072705 is about 471.8782617788.

The spelling of 105072705 in words is "one hundred five million, seventy-two thousand, seven hundred five".