107077360 has 80 divisors (see below), whose sum is σ = 270295200. Its totient is φ = 39214080.

The previous prime is 107077343. The next prime is 107077391. The reversal of 107077360 is 63770701.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×107077360² = 22931122049139200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 154615 + ... + 155305.

It is an arithmetic number, because the mean of its divisors is an integer number (3378690).

Almost surely, 2^107077360 is an apocalyptic number.

107077360 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 107077360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135147600).

107077360 is an abundant number, since it is smaller than the sum of its proper divisors (163217840).

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

107077360 is a wasteful number, since it uses less digits than its factorization.

107077360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 866 (or 860 counting only the distinct ones).

The product of its (nonzero) digits is 6174, while the sum is 31.

The square root of 107077360 is about 10347.8190938961. The cubic root of 107077360 is about 474.8603245829.

The spelling of 107077360 in words is "one hundred seven million, seventy-seven thousand, three hundred sixty".