106512168 has 64 divisors (see below), whose sum is σ = 305233920. Its totient is φ = 30340800.

The previous prime is 106512151. The next prime is 106512173. The reversal of 106512168 is 861215601.

It is a super-2 number, since 2×106512168² = 22689683864120448, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 71673 + ... + 73143.

It is an arithmetic number, because the mean of its divisors is an integer number (4769280).

Almost surely, 2^106512168 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 106512168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152616960).

106512168 is an abundant number, since it is smaller than the sum of its proper divisors (198721752).

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

106512168 is a wasteful number, since it uses less digits than its factorization.

106512168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1918 (or 1914 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 30.

The square root of 106512168 is about 10320.4732449631. The cubic root of 106512168 is about 474.0233569291.

Adding to 106512168 its reverse (861215601), we get a palindrome (967727769).

The spelling of 106512168 in words is "one hundred six million, five hundred twelve thousand, one hundred sixty-eight".