100505565300 has 144 divisors (see below), whose sum is σ = 332434972800. Its totient is φ = 22966026240.

The previous prime is 100505565283. The next prime is 100505565311. The reversal of 100505565300 is 3565505001.

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 13135876 + ... + 13143524.

It is an arithmetic number, because the mean of its divisors is an integer number (2308576200).

Almost surely, 2^100505565300 is an apocalyptic number.

100505565300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100505565300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166217486400).

100505565300 is an abundant number, since it is smaller than the sum of its proper divisors (231929407500).

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

100505565300 is a wasteful number, since it uses less digits than its factorization.

100505565300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13930 (or 13923 counting only the distinct ones).

The product of its (nonzero) digits is 11250, while the sum is 30.

The spelling of 100505565300 in words is "one hundred billion, five hundred five million, five hundred sixty-five thousand, three hundred".