107428584169 has 27 divisors (see below), whose sum is σ = 113200447941. Its totient is φ = 101947403520.

The previous prime is 107428584167. The next prime is 107428584187. The reversal of 107428584169 is 961485824701.

The square root of 107428584169 is 327763.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 2444808025 + 104983776144 = 49445^2 + 324012^2 .

It is not a de Polignac number, because 107428584169 - 2¹ = 107428584167 is a prime.

It is a super-2 number, since 2×107428584169² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (107428584163) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 985583287 + ... + 985583395.

It is an arithmetic number, because the mean of its divisors is an integer number (4192609183).

Almost surely, 2^107428584169 is an apocalyptic number.

107428584169 is the 327763-rd square number.

107428584169 is the 163882-nd centered octagonal number.

It is an amenable number.

107428584169 is a deficient number, since it is larger than the sum of its proper divisors (5771863772).

107428584169 is an frugal number, since it uses more digits than its factorization.

107428584169 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 474 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 55.

The spelling of 107428584169 in words is "one hundred seven billion, four hundred twenty-eight million, five hundred eighty-four thousand, one hundred sixty-nine".