105070 has 32 divisors (see below), whose sum is σ = 230400. Its totient is φ = 33696.

The previous prime is 105037. The next prime is 105071. The reversal of 105070 is 70501.

It is a super-2 number, since 2×105070² = 22079409800, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 105070.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105071) by changing a digit.

105070 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1291 + ... + 1369.

It is an arithmetic number, because the mean of its divisors is an integer number (7200).

2¹⁰⁵⁰⁷⁰ is an apocalyptic number.

105070 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105070 is an abundant number, since it is smaller than the sum of its proper divisors (125330).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

105070 is a wasteful number, since it uses less digits than its factorization.

105070 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 112.

The product of its (nonzero) digits is 35, while the sum is 13.

The square root of 105070 is about 324.1450292693. The cubic root of 105070 is about 47.1874212387.

Adding to 105070 its reverse (70501), we get a palindrome (175571).

The spelling of 105070 in words is "one hundred five thousand, seventy".