106851668 has 108 divisors (see below), whose sum is σ = 254239776. Its totient is φ = 38167200.

The previous prime is 106851653. The next prime is 106851691. The reversal of 106851668 is 866158601.

It is a happy number.

It is a super-2 number, since 2×106851668² = 22834557908764448, which contains 22 as substring.

It is a Smith number, since the sum of its digits (41) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3446813 + ... + 3446843.

It is an arithmetic number, because the mean of its divisors is an integer number (2354072).

Almost surely, 2^106851668 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106851668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127119888).

106851668 is an abundant number, since it is smaller than the sum of its proper divisors (147388108).

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

106851668 is a wasteful number, since it uses less digits than its factorization.

106851668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 41.

The square root of 106851668 is about 10336.9080483479. The cubic root of 106851668 is about 474.5264614085.

The spelling of 106851668 in words is "one hundred six million, eight hundred fifty-one thousand, six hundred sixty-eight".