100896482044800 has 1920 divisors, whose sum is σ = 407321639746560. Its totient is φ = 24445076520960.

The previous prime is 100896482044793. The next prime is 100896482044801. The reversal of 100896482044800 is 8440284698001.

It is a happy number.

100896482044800 is a `hidden beast` number, since 1 + 0 + 0 + 89 + 6 + 4 + 82 + 0 + 4 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100896482044801) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 102641385109 + ... + 102641386091.

It is an arithmetic number, because the mean of its divisors is an integer number (212146687368).

Almost surely, 2^{100896482044800} is an apocalyptic number.

100896482044800 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 100896482044800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203660819873280).

100896482044800 is an abundant number, since it is smaller than the sum of its proper divisors (306425157701760).

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

100896482044800 is a wasteful number, since it uses less digits than its factorization.

100896482044800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1482 (or 1456 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 54.

The spelling of 100896482044800 in words is "one hundred trillion, eight hundred ninety-six billion, four hundred eighty-two million, forty-four thousand, eight hundred".