106210170 has 96 divisors (see below), whose sum is σ = 311411520. Its totient is φ = 25740000.

The previous prime is 106210157. The next prime is 106210189. The reversal of 106210170 is 71012601.

It is a super-2 number, since 2×106210170² = 22561200422857800, 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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 31045 + ... + 34295.

It is an arithmetic number, because the mean of its divisors is an integer number (3243870).

Almost surely, 2^106210170 is an apocalyptic number.

106210170 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106210170, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155705760).

106210170 is an abundant number, since it is smaller than the sum of its proper divisors (205201350).

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

106210170 is a wasteful number, since it uses less digits than its factorization.

106210170 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3289 (or 3272 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 18.

The square root of 106210170 is about 10305.8318441550. The cubic root of 106210170 is about 473.5749273624.

Adding to 106210170 its reverse (71012601), we get a palindrome (177222771).

It can be divided in two parts, 106 and 210170, that added together give a triangular number (210276 = T₆₄₈).

The spelling of 106210170 in words is "one hundred six million, two hundred ten thousand, one hundred seventy".