71604408100 has 27 divisors (see below), whose sum is σ = 155387372497. Its totient is φ = 28640692880.

The previous prime is 71604408041. The next prime is 71604408107. The reversal of 71604408100 is 180440617.

The square root of 71604408100 is 267590.

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

It can be written as a sum of positive squares in only one way, i.e., 25777586916 + 45826821184 = 160554^2 + 214072^2 .

It is a super-2 number, since 2×71604408100² (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 (71604408107) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2662521 + ... + 2689279.

Almost surely, 2^71604408100 is an apocalyptic number.

71604408100 is the 267590-th square number.

It is an amenable number.

71604408100 is an abundant number, since it is smaller than the sum of its proper divisors (83782964397).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

71604408100 is an frugal number, since it uses more digits than its factorization.

71604408100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53532 (or 26766 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

Adding to 71604408100 its reverse (180440617), we get a palindrome (71784848717).

The spelling of 71604408100 in words is "seventy-one billion, six hundred four million, four hundred eight thousand, one hundred".