107132144 has 40 divisors (see below), whose sum is σ = 237782400. Its totient is φ = 45805248.

The previous prime is 107132117. The next prime is 107132149. The reversal of 107132144 is 441231701.

It is a happy number.

It is a super-2 number, since 2×107132144² = 22954592556073472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107132149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62207 + ... + 63905.

It is an arithmetic number, because the mean of its divisors is an integer number (5944560).

Almost surely, 2^107132144 is an apocalyptic number.

107132144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

107132144 is an abundant number, since it is smaller than the sum of its proper divisors (130650256).

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

107132144 is a wasteful number, since it uses less digits than its factorization.

107132144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2277 (or 2271 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 23.

The square root of 107132144 is about 10350.4658832344. The cubic root of 107132144 is about 474.9412950534.

Adding to 107132144 its reverse (441231701), we get a palindrome (548363845).

The spelling of 107132144 in words is "one hundred seven million, one hundred thirty-two thousand, one hundred forty-four".