810162008100 has 405 divisors, whose sum is σ = 2682271257897. Its totient is φ = 211528350720.

The previous prime is 810162008069. The next prime is 810162008107. The reversal of 810162008100 is 1800261018.

The square root of 810162008100 is 900090.

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

It can be written as a sum of positive squares in 13 ways, for example, as 393889291236 + 416272716864 = 627606^2 + 645192^2 .

It is a tau number, because it is divible by the number of its divisors (405).

It is a super-2 number, since 2×810162008100² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (810162008107) 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 134 ways as a sum of consecutive naturals, for example, 5913591232 + ... + 5913591368.

Almost surely, 2^810162008100 is an apocalyptic number.

810162008100 is the 900090-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 810162008100

810162008100 is an abundant number, since it is smaller than the sum of its proper divisors (1872109249797).

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

810162008100 is a wasteful number, since it uses less digits than its factorization.

810162008100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 446 (or 220 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 27.

Adding to 810162008100 its reverse (1800261018), we get a palindrome (811962269118).

The spelling of 810162008100 in words is "eight hundred ten billion, one hundred sixty-two million, eight thousand, one hundred".