100545883200 has 1260 divisors, whose sum is σ = 437931470592. Its totient is φ = 22556620800.

The previous prime is 100545883171. The next prime is 100545883237. The reversal of 100545883200 is 2388545001.

It is a happy number.

100545883200 is a `hidden beast` number, since 1 + 0 + 0 + 54 + 588 + 3 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1260).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 450878289 + ... + 450878511.

Almost surely, 2^100545883200 is an apocalyptic number.

100545883200 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 100545883200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218965735296).

100545883200 is an abundant number, since it is smaller than the sum of its proper divisors (337385587392).

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

100545883200 is a wasteful number, since it uses less digits than its factorization.

100545883200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 100545883200 in words is "one hundred billion, five hundred forty-five million, eight hundred eighty-three thousand, two hundred".