100099725454080 has 864 divisors, whose sum is σ = 400149994503168. Its totient is φ = 23750251315200.

The previous prime is 100099725454061. The next prime is 100099725454081. The reversal of 100099725454080 is 80454527990001.

It is a happy number.

100099725454080 is a `hidden beast` number, since 1 + 0 + 0 + 0 + 9 + 97 + 2 + 5 + 4 + 540 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is not an unprimeable number, because it can be changed into a prime (100099725454081) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 160496440 + ... + 161118920.

It is an arithmetic number, because the mean of its divisors is an integer number (463136567712).

Almost surely, 2^{100099725454080} is an apocalyptic number.

100099725454080 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 100099725454080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200074997251584).

100099725454080 is an abundant number, since it is smaller than the sum of its proper divisors (300050269049088).

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

100099725454080 is an equidigital number, since it uses as much as digits as its factorization.

100099725454080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 622575 (or 622549 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 100099725454080 in words is "one hundred trillion, ninety-nine billion, seven hundred twenty-five million, four hundred fifty-four thousand, eighty".