100145548800 has 720 divisors, whose sum is σ = 405593540352. Its totient is φ = 24269414400.

The previous prime is 100145548733. The next prime is 100145548813. The reversal of 100145548800 is 8845541001.

100145548800 is a `hidden beast` number, since 10 + 0 + 14 + 554 + 8 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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 polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 34212937 + ... + 34215863.

Almost surely, 2^100145548800 is an apocalyptic number.

100145548800 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 100145548800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202796770176).

100145548800 is an abundant number, since it is smaller than the sum of its proper divisors (305447991552).

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

100145548800 is an equidigital number, since it uses as much as digits as its factorization.

100145548800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2981 (or 2948 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The spelling of 100145548800 in words is "one hundred billion, one hundred forty-five million, five hundred forty-eight thousand, eight hundred".