83100169441 has 27 divisors (see below), whose sum is σ = 87248465913. Its totient is φ = 79147685760.

The previous prime is 83100169381. The next prime is 83100169501. The reversal of 83100169441 is 14496100138.

The square root of 83100169441 is 288271.

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

It is an interprime number because it is at equal distance from previous prime (83100169381) and next prime (83100169501).

It can be written as a sum of positive squares in 4 ways, for example, as 50656955041 + 32443214400 = 225071^2 + 180120^2 .

It is not a de Polignac number, because 83100169441 - 2²¹ = 83098072289 is a prime.

It is a super-2 number, since 2×83100169441² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 83100169441.

It is not an unprimeable number, because it can be changed into a prime (83100160441) 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, 933709725 + ... + 933709813.

Almost surely, 2^83100169441 is an apocalyptic number.

83100169441 is the 288271-st square number.

83100169441 is the 144136-th centered octagonal number.

It is an amenable number.

83100169441 is a deficient number, since it is larger than the sum of its proper divisors (4148296472).

83100169441 is an frugal number, since it uses more digits than its factorization.

83100169441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 209 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 37.

Adding to 83100169441 its reverse (14496100138), we get a palindrome (97596269579).

The spelling of 83100169441 in words is "eighty-three billion, one hundred million, one hundred sixty-nine thousand, four hundred forty-one".