106166768 has 40 divisors (see below), whose sum is σ = 218758320. Its totient is φ = 49740800.

The previous prime is 106166761. The next prime is 106166771. The reversal of 106166768 is 867661601.

It is a super-2 number, since 2×106166768² = 22542765255131648, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106166761) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 72443 + ... + 73893.

It is an arithmetic number, because the mean of its divisors is an integer number (5468958).

Almost surely, 2^106166768 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 106166768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109379160).

106166768 is an abundant number, since it is smaller than the sum of its proper divisors (112591552).

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

106166768 is a wasteful number, since it uses less digits than its factorization.

106166768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1745 (or 1739 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 41.

The square root of 106166768 is about 10303.7259280321. The cubic root of 106166768 is about 473.5104109437.

The spelling of 106166768 in words is "one hundred six million, one hundred sixty-six thousand, seven hundred sixty-eight".