107784144 has 180 divisors, whose sum is σ = 337475424. Its totient is φ = 32078592.

The previous prime is 107784143. The next prime is 107784167. The reversal of 107784144 is 441487701.

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 = 107784099 and 107784108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107784143) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1046397 + ... + 1046499.

Almost surely, 2^107784144 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 107784144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168737712).

107784144 is an abundant number, since it is smaller than the sum of its proper divisors (229691280).

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

107784144 is a wasteful number, since it uses less digits than its factorization.

107784144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186 (or 164 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 107784144 is about 10381.9142743523. The cubic root of 107784144 is about 475.9028354272.

The spelling of 107784144 in words is "one hundred seven million, seven hundred eighty-four thousand, one hundred forty-four".