100434318521 has 16 divisors (see below), whose sum is σ = 102575322000. Its totient is φ = 98320155648.

The previous prime is 100434318463. The next prime is 100434318539. The reversal of 100434318521 is 125813434001.

It can be written as a sum of positive squares in 8 ways, for example, as 59331216400 + 41103102121 = 243580^2 + 202739^2 .

It is a cyclic number.

It is not a de Polignac number, because 100434318521 - 2²² = 100430124217 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100434312521) 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, 4138595 + ... + 4162791.

It is an arithmetic number, because the mean of its divisors is an integer number (6410957625).

Almost surely, 2^100434318521 is an apocalyptic number.

It is an amenable number.

100434318521 is a deficient number, since it is larger than the sum of its proper divisors (2141003479).

100434318521 is a wasteful number, since it uses less digits than its factorization.

100434318521 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24748.

The product of its (nonzero) digits is 11520, while the sum is 32.

The spelling of 100434318521 in words is "one hundred billion, four hundred thirty-four million, three hundred eighteen thousand, five hundred twenty-one".