107577440 has 144 divisors (see below), whose sum is σ = 280941696. Its totient is φ = 38860800.

The previous prime is 107577433. The next prime is 107577451. The reversal of 107577440 is 44775701.

It is a self number, because there is not a number n which added to its sum of digits gives 107577440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2623820 + ... + 2623860.

It is an arithmetic number, because the mean of its divisors is an integer number (1950984).

Almost surely, 2^107577440 is an apocalyptic number.

107577440 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 107577440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140470848).

107577440 is an abundant number, since it is smaller than the sum of its proper divisors (173364256).

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

107577440 is a wasteful number, since it uses less digits than its factorization.

107577440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 27440, while the sum is 35.

The square root of 107577440 is about 10371.9544927656. The cubic root of 107577440 is about 475.5984184474.

The spelling of 107577440 in words is "one hundred seven million, five hundred seventy-seven thousand, four hundred forty".