107667144 has 80 divisors (see below), whose sum is σ = 324790620. Its totient is φ = 33125760.

The previous prime is 107667143. The next prime is 107667193. The reversal of 107667144 is 441766701.

It can be written as a sum of positive squares in 2 ways, for example, as 107122500 + 544644 = 10350^2 + 738^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 107667099 and 107667108.

It is not an unprimeable number, because it can be changed into a prime (107667143) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2034 + ... + 14814.

Almost surely, 2^107667144 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 107667144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162395310).

107667144 is an abundant number, since it is smaller than the sum of its proper divisors (217123476).

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

107667144 is a wasteful number, since it uses less digits than its factorization.

107667144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12812 (or 12799 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 107667144 is about 10376.2779453906. The cubic root of 107667144 is about 475.7305751144.

The spelling of 107667144 in words is "one hundred seven million, six hundred sixty-seven thousand, one hundred forty-four".