107106672 has 20 divisors (see below), whose sum is σ = 276692360. Its totient is φ = 35702208.

The previous prime is 107106661. The next prime is 107106673. The reversal of 107106672 is 276601701.

It is a happy number.

It is a super-2 number, since 2×107106672² = 22943678373831168, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107106673) 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 3 ways as a sum of consecutive naturals, for example, 1115647 + ... + 1115742.

It is an arithmetic number, because the mean of its divisors is an integer number (13834618).

Almost surely, 2^107106672 is an apocalyptic number.

107106672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

107106672 is an abundant number, since it is smaller than the sum of its proper divisors (169585688).

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

107106672 is a wasteful number, since it uses less digits than its factorization.

107106672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2231400 (or 2231394 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 30.

The square root of 107106672 is about 10349.2353340718. The cubic root of 107106672 is about 474.9036510027.

The spelling of 107106672 in words is "one hundred seven million, one hundred six thousand, six hundred seventy-two".