100809436728 has 256 divisors, whose sum is σ = 338712192000. Its totient is φ = 24146472960.

The previous prime is 100809436697. The next prime is 100809436729. The reversal of 100809436728 is 827634908001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100809436729) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46821700 + ... + 46823852.

It is an arithmetic number, because the mean of its divisors is an integer number (1323094500).

Almost surely, 2^100809436728 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 100809436728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169356096000).

100809436728 is an abundant number, since it is smaller than the sum of its proper divisors (237902755272).

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

100809436728 is a wasteful number, since it uses less digits than its factorization.

100809436728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4142 (or 4138 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 100809436728 in words is "one hundred billion, eight hundred nine million, four hundred thirty-six thousand, seven hundred twenty-eight".