65008100 has 18 divisors (see below), whose sum is σ = 141067794. Its totient is φ = 26003200.

The previous prime is 65008093. The next prime is 65008103. The reversal of 65008100 is 180056.

It can be written as a sum of positive squares in 3 ways, for example, as 10484644 + 54523456 = 3238^2 + 7384^2 .

It is a super-2 number, since 2×65008100² = 8452106131220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (65008103) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 324941 + ... + 325140.

Almost surely, 2^65008100 is an apocalyptic number.

It is an amenable number.

65008100 is an abundant number, since it is smaller than the sum of its proper divisors (76059694).

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

65008100 is a wasteful number, since it uses less digits than its factorization.

65008100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 650095 (or 650088 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The square root of 65008100 is about 8062.7600733248. The cubic root of 65008100 is about 402.0892766414.

Adding to 65008100 its reverse (180056), we get a palindrome (65188156).

The spelling of 65008100 in words is "sixty-five million, eight thousand, one hundred".