105870969 has 24 divisors (see below), whose sum is σ = 159100032. Its totient is φ = 70353360.

The previous prime is 105870959. The next prime is 105871009. The reversal of 105870969 is 969078501.

105870969 is a `hidden beast` number, since 1 + 0 + 587 + 0 + 9 + 69 = 666.

It is not a de Polignac number, because 105870969 - 2¹¹ = 105868921 is a prime.

It is a super-2 number, since 2×105870969² = 22417324153997922, 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 (105870959) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 112039 + ... + 112979.

It is an arithmetic number, because the mean of its divisors is an integer number (6629168).

Almost surely, 2^105870969 is an apocalyptic number.

It is an amenable number.

105870969 is a deficient number, since it is larger than the sum of its proper divisors (53229063).

105870969 is an frugal number, since it uses more digits than its factorization.

105870969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1419 (or 1407 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 45.

The square root of 105870969 is about 10289.3619335700. The cubic root of 105870969 is about 473.0702412272.

It can be divided in two parts, 1058 and 70969, that added together give a palindrome (72027).

The spelling of 105870969 in words is "one hundred five million, eight hundred seventy thousand, nine hundred sixty-nine".