100573441800 has 192 divisors, whose sum is σ = 336720948480. Its totient is φ = 24685731840.

The previous prime is 100573441789. The next prime is 100573441811. The reversal of 100573441800 is 8144375001.

It is an interprime number because it is at equal distance from previous prime (100573441789) and next prime (100573441811).

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, 2735137 + ... + 2771663.

It is an arithmetic number, because the mean of its divisors is an integer number (1753754940).

Almost surely, 2^100573441800 is an apocalyptic number.

100573441800 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 100573441800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168360474240).

100573441800 is an abundant number, since it is smaller than the sum of its proper divisors (236147506680).

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

100573441800 is a wasteful number, since it uses less digits than its factorization.

100573441800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36912 (or 36903 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The spelling of 100573441800 in words is "one hundred billion, five hundred seventy-three million, four hundred forty-one thousand, eight hundred".