107271029 has 16 divisors (see below), whose sum is σ = 114706800. Its totient is φ = 100122624.

The previous prime is 107270983. The next prime is 107271049. The reversal of 107271029 is 920172701.

It can be written as a sum of positive squares in 8 ways, for example, as 18722929 + 88548100 = 4327^2 + 9410^2 .

It is a cyclic number.

It is not a de Polignac number, because 107271029 - 2⁸ = 107270773 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 107270992 and 107271010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107271049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 275567 + ... + 275955.

It is an arithmetic number, because the mean of its divisors is an integer number (7169175).

Almost surely, 2^107271029 is an apocalyptic number.

It is an amenable number.

107271029 is a deficient number, since it is larger than the sum of its proper divisors (7435771).

107271029 is a wasteful number, since it uses less digits than its factorization.

107271029 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 712.

The product of its (nonzero) digits is 1764, while the sum is 29.

The square root of 107271029 is about 10357.1728285281. The cubic root of 107271029 is about 475.1464427510.

The spelling of 107271029 in words is "one hundred seven million, two hundred seventy-one thousand, twenty-nine".