100073185709472 has 384 divisors, whose sum is σ = 301265359153920. Its totient is φ = 32710306609152.

The previous prime is 100073185709443. The next prime is 100073185709473. The reversal of 100073185709472 is 274907581370001.

100073185709472 is a `hidden beast` number, since 10 + 0 + 0 + 7 + 3 + 18 + 570 + 9 + 47 + 2 = 666.

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 (100073185709473) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 883771323 + ... + 883884549.

It is an arithmetic number, because the mean of its divisors is an integer number (784545206130).

Almost surely, 2^{100073185709472} is an apocalyptic number.

100073185709472 is a gapful number since it is divisible by the number (12) 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 100073185709472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150632679576960).

100073185709472 is an abundant number, since it is smaller than the sum of its proper divisors (201192173444448).

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

100073185709472 is an equidigital number, since it uses as much as digits as its factorization.

100073185709472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113504 (or 113478 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 54.

The spelling of 100073185709472 in words is "one hundred trillion, seventy-three billion, one hundred eighty-five million, seven hundred nine thousand, four hundred seventy-two".