107726144 has 28 divisors (see below), whose sum is σ = 226346004. Its totient is φ = 50694144.

The previous prime is 107726141. The next prime is 107726191. The reversal of 107726144 is 441627701.

It can be written as a sum of positive squares in 2 ways, for example, as 28729600 + 78996544 = 5360^2 + 8888^2 .

It is a super-2 number, since 2×107726144² = 23209844202217472, which contains 22 as substring.

It is a hoax number, since the sum of its digits (32) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 107726144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107726141) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 48419 + ... + 50594.

Almost surely, 2^107726144 is an apocalyptic number.

It is an amenable number.

107726144 is an abundant number, since it is smaller than the sum of its proper divisors (118619860).

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

107726144 is an equidigital number, since it uses as much as digits as its factorization.

107726144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99042 (or 99032 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 32.

The square root of 107726144 is about 10379.1205793169. The cubic root of 107726144 is about 475.8174570157.

The spelling of 107726144 in words is "one hundred seven million, seven hundred twenty-six thousand, one hundred forty-four".