107160084 has 42 divisors (see below), whose sum is σ = 281174250. Its totient is φ = 35719056.

The previous prime is 107160049. The next prime is 107160089. The reversal of 107160084 is 480061701.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 71876484 + 35283600 = 8478^2 + 5940^2 .

It is a super-2 number, since 2×107160084² = 22966567205774112, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107160089) by changing a digit.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 15459 + ... + 21290.

It is an arithmetic number, because the mean of its divisors is an integer number (6694625).

Almost surely, 2^107160084 is an apocalyptic number.

It is an amenable number.

107160084 is an abundant number, since it is smaller than the sum of its proper divisors (174014166).

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

107160084 is an equidigital number, since it uses as much as digits as its factorization.

107160084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36771 (or 36754 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The square root of 107160084 is about 10351.8154929462. The cubic root of 107160084 is about 474.9825796012.

The spelling of 107160084 in words is "one hundred seven million, one hundred sixty thousand, eighty-four".