107127306 has 64 divisors (see below), whose sum is σ = 279699840. Its totient is φ = 29963520.

The previous prime is 107127299. The next prime is 107127311. The reversal of 107127306 is 603721701.

It is a super-2 number, since 2×107127306² = 22952519381635272, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 107127306.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 786 + ... + 14658.

It is an arithmetic number, because the mean of its divisors is an integer number (4370310).

Almost surely, 2^107127306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107127306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (139849920).

107127306 is an abundant number, since it is smaller than the sum of its proper divisors (172572534).

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

107127306 is a wasteful number, since it uses less digits than its factorization.

107127306 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13908 (or 13902 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 27.

The square root of 107127306 is about 10350.2321713090. The cubic root of 107127306 is about 474.9341456256.

The spelling of 107127306 in words is "one hundred seven million, one hundred twenty-seven thousand, three hundred six".