103275808129 has 16 divisors (see below), whose sum is σ = 118099976400. Its totient is φ = 89466624000.

The previous prime is 103275808091. The next prime is 103275808151. The reversal of 103275808129 is 921808572301.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 5227290000 + 98048518129 = 72300^2 + 313127^2 .

It is not a de Polignac number, because 103275808129 - 2³¹ = 101128324481 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (103275808159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 592372 + ... + 746629.

It is an arithmetic number, because the mean of its divisors is an integer number (7381248525).

Almost surely, 2^103275808129 is an apocalyptic number.

It is an amenable number.

103275808129 is a deficient number, since it is larger than the sum of its proper divisors (14824168271).

103275808129 is a wasteful number, since it uses less digits than its factorization.

103275808129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1339380.

The product of its (nonzero) digits is 241920, while the sum is 46.

The spelling of 103275808129 in words is "one hundred three billion, two hundred seventy-five million, eight hundred eight thousand, one hundred twenty-nine".