810541090100 has 108 divisors (see below), whose sum is σ = 2049207654816. Its totient is φ = 277469196480.

The previous prime is 810541090097. The next prime is 810541090181. The reversal of 810541090100 is 1090145018.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 3042467 + ... + 3298133.

It is an arithmetic number, because the mean of its divisors is an integer number (18974144952).

Almost surely, 2^810541090100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 810541090100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1024603827408).

810541090100 is an abundant number, since it is smaller than the sum of its proper divisors (1238666564716).

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

810541090100 is a wasteful number, since it uses less digits than its factorization.

810541090100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256342 (or 256328 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 29.

The spelling of 810541090100 in words is "eight hundred ten billion, five hundred forty-one million, ninety thousand, one hundred".