107368672 has 96 divisors (see below), whose sum is σ = 232696800. Its totient is φ = 48642048.

The previous prime is 107368661. The next prime is 107368673. The reversal of 107368672 is 276863701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107368673) 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 15 ways as a sum of consecutive naturals, for example, 1819779 + ... + 1819837.

It is an arithmetic number, because the mean of its divisors is an integer number (2423925).

Almost surely, 2^107368672 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 107368672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116348400).

107368672 is an abundant number, since it is smaller than the sum of its proper divisors (125328128).

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

107368672 is a wasteful number, since it uses less digits than its factorization.

107368672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 188 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 40.

The square root of 107368672 is about 10361.8855426993. The cubic root of 107368672 is about 475.2905657100.

It can be divided in two parts, 1073 and 68672, that multiplied together give a square (73685056 = 8584²).

The spelling of 107368672 in words is "one hundred seven million, three hundred sixty-eight thousand, six hundred seventy-two".