107827132 has 48 divisors (see below), whose sum is σ = 221985792. Its totient is φ = 44876160.

The previous prime is 107827123. The next prime is 107827163. The reversal of 107827132 is 231728701.

It is a junction number, because it is equal to n+sod(n) for n = 107827094 and 107827103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 144753 + ... + 145495.

It is an arithmetic number, because the mean of its divisors is an integer number (4624704).

Almost surely, 2^107827132 is an apocalyptic number.

It is an amenable number.

107827132 is an abundant number, since it is smaller than the sum of its proper divisors (114158660).

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

107827132 is a wasteful number, since it uses less digits than its factorization.

107827132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 898 (or 896 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 31.

The square root of 107827132 is about 10383.9843990638. The cubic root of 107827132 is about 475.9660957891.

The spelling of 107827132 in words is "one hundred seven million, eight hundred twenty-seven thousand, one hundred thirty-two".