107182144 has 112 divisors (see below), whose sum is σ = 241401600. Its totient is φ = 46964736.

The previous prime is 107182129. The next prime is 107182169. The reversal of 107182144 is 441281701.

It is a super-2 number, since 2×107182144² = 22976023984873472, which contains 22 as substring.

It is an unprimeable number.

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, 1356697 + ... + 1356775.

Almost surely, 2^107182144 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 107182144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120700800).

107182144 is an abundant number, since it is smaller than the sum of its proper divisors (134219456).

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

107182144 is a wasteful number, since it uses less digits than its factorization.

107182144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 28.

The square root of 107182144 is about 10352.8809516965. The cubic root of 107182144 is about 475.0151707066.

The spelling of 107182144 in words is "one hundred seven million, one hundred eighty-two thousand, one hundred forty-four".