107445780 has 288 divisors, whose sum is σ = 386908704. Its totient is φ = 23887872.

The previous prime is 107445773. The next prime is 107445781. The reversal of 107445780 is 87544701.

107445780 is a `hidden beast` number, since 10 + 74 + 4 + 578 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 6563844 + 100881936 = 2562^2 + 10044^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107445781) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1471824 + ... + 1471896.

It is an arithmetic number, because the mean of its divisors is an integer number (1343433).

Almost surely, 2^107445780 is an apocalyptic number.

107445780 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107445780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193454352).

107445780 is an abundant number, since it is smaller than the sum of its proper divisors (279462924).

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

107445780 is a wasteful number, since it uses less digits than its factorization.

107445780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The square root of 107445780 is about 10365.6056263009. The cubic root of 107445780 is about 475.4043168770.

The spelling of 107445780 in words is "one hundred seven million, four hundred forty-five thousand, seven hundred eighty".