106071168 has 64 divisors (see below), whose sum is σ = 322009920. Its totient is φ = 30305280.

The previous prime is 106071157. The next prime is 106071191. The reversal of 106071168 is 861170601.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×106071168² = 22502185361768448, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17043 + ... + 22418.

It is an arithmetic number, because the mean of its divisors is an integer number (5031405).

Almost surely, 2^106071168 is an apocalyptic number.

It is an amenable number.

106071168 is an abundant number, since it is smaller than the sum of its proper divisors (215938752).

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

106071168 is an equidigital number, since it uses as much as digits as its factorization.

106071168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39485 (or 39473 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 30.

The square root of 106071168 is about 10299.0857846704. The cubic root of 106071168 is about 473.3682409398.

The spelling of 106071168 in words is "one hundred six million, seventy-one thousand, one hundred sixty-eight".