100805007810 has 64 divisors (see below), whose sum is σ = 261906462720. Its totient is φ = 24683608320.

The previous prime is 100805007781. The next prime is 100805007811. The reversal of 100805007810 is 18700508001.

100805007810 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×100805007810² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (100805007811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 602145 + ... + 751124.

It is an arithmetic number, because the mean of its divisors is an integer number (4092288480).

Almost surely, 2^100805007810 is an apocalyptic number.

100805007810 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100805007810 is an abundant number, since it is smaller than the sum of its proper divisors (161101454910).

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

100805007810 is a wasteful number, since it uses less digits than its factorization.

100805007810 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1353483.

The product of its (nonzero) digits is 2240, while the sum is 30.

The spelling of 100805007810 in words is "one hundred billion, eight hundred five million, seven thousand, eight hundred ten".