106168986 has 144 divisors (see below), whose sum is σ = 302185728. Its totient is φ = 26611200.

The previous prime is 106168981. The next prime is 106168987. The reversal of 106168986 is 689861601.

It is a happy number.

It is a super-2 number, since 2×106168986² = 22543707176536392, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106168981) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 300586 + ... + 300938.

It is an arithmetic number, because the mean of its divisors is an integer number (2098512).

Almost surely, 2^106168986 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106168986, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151092864).

106168986 is an abundant number, since it is smaller than the sum of its proper divisors (196016742).

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

106168986 is a wasteful number, since it uses less digits than its factorization.

106168986 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The square root of 106168986 is about 10303.8335584383. The cubic root of 106168986 is about 473.5137083936.

The spelling of 106168986 in words is "one hundred six million, one hundred sixty-eight thousand, nine hundred eighty-six".