105970 has 8 divisors (see below), whose sum is σ = 190764. Its totient is φ = 42384.

The previous prime is 105967. The next prime is 105971. The reversal of 105970 is 79501.

It can be written as a sum of positive squares in 2 ways, for example, as 91809 + 14161 = 303^2 + 119^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a super-2 number, since 2×105970² = 22459281800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105971) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5289 + ... + 5308.

2¹⁰⁵⁹⁷⁰ is an apocalyptic number.

105970 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105970 is a deficient number, since it is larger than the sum of its proper divisors (84794).

105970 is a wasteful number, since it uses less digits than its factorization.

105970 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10604.

The product of its (nonzero) digits is 315, while the sum is 22.

The square root of 105970 is about 325.5303365279. The cubic root of 105970 is about 47.3217697512.

The spelling of 105970 in words is "one hundred five thousand, nine hundred seventy".