107166016 has 56 divisors (see below), whose sum is σ = 226771200. Its totient is φ = 50130432.

The previous prime is 107166013. The next prime is 107166067. The reversal of 107166016 is 610661701.

It is a super-2 number, since 2×107166016² = 22969109970624512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107166013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68410 + ... + 69958.

Almost surely, 2^107166016 is an apocalyptic number.

107166016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107166016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113385600).

107166016 is an abundant number, since it is smaller than the sum of its proper divisors (119605184).

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

107166016 is a wasteful number, since it uses less digits than its factorization.

With its predecessor (107166015) it forms a Ruth-Aaron pair, since the sum of their distinct prime factors is the same (1621).

107166016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1631 (or 1621 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 28.

The square root of 107166016 is about 10352.1020087710. The cubic root of 107166016 is about 474.9913438866.

The spelling of 107166016 in words is "one hundred seven million, one hundred sixty-six thousand, sixteen".