73140105000 has 160 divisors (see below), whose sum is σ = 234064575360. Its totient is φ = 19028160000.

The previous prime is 73140104953. The next prime is 73140105001. The reversal of 73140105000 is 50104137.

It is a super-2 number, since 2×73140105000² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (73140105001) 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 39 ways as a sum of consecutive naturals, for example, 555537 + ... + 674463.

It is an arithmetic number, because the mean of its divisors is an integer number (1462903596).

Almost surely, 2^73140105000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73140105000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117032287680).

73140105000 is an abundant number, since it is smaller than the sum of its proper divisors (160924470360).

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

73140105000 is a wasteful number, since it uses less digits than its factorization.

73140105000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118997 (or 118978 counting only the distinct ones).

The product of its (nonzero) digits is 420, while the sum is 21.

Adding to 73140105000 its reverse (50104137), we get a palindrome (73190209137).

The spelling of 73140105000 in words is "seventy-three billion, one hundred forty million, one hundred five thousand".