105700212 has 18 divisors (see below), whose sum is σ = 267186738. Its totient is φ = 35233392.

The previous prime is 105700201. The next prime is 105700213. The reversal of 105700212 is 212007501.

It can be written as a sum of positive squares in only one way, i.e., 65707236 + 39992976 = 8106^2 + 6324^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×105700212² = 22345069633689888, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105700213) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1468023 + ... + 1468094.

Almost surely, 2^105700212 is an apocalyptic number.

105700212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105700212 is an abundant number, since it is smaller than the sum of its proper divisors (161486526).

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

105700212 is a wasteful number, since it uses less digits than its factorization.

105700212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2936127 (or 2936122 counting only the distinct ones).

The product of its (nonzero) digits is 140, while the sum is 18.

The square root of 105700212 is about 10281.0608402052. The cubic root of 105700212 is about 472.8157694415.

Adding to 105700212 its reverse (212007501), we get a palindrome (317707713).

The spelling of 105700212 in words is "one hundred five million, seven hundred thousand, two hundred twelve".