54340105000 has 160 divisors (see below), whose sum is σ = 131544923400. Its totient is φ = 21033792000.

The previous prime is 54340104991. The next prime is 54340105007. The reversal of 54340105000 is 50104345.

It can be written as a sum of positive squares in 20 ways, for example, as 22127752516 + 32212352484 = 148754^2 + 179478^2 .

It is a super-2 number, since 2×54340105000² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (54340105007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 744384964 + ... + 744385036.

Almost surely, 2^54340105000 is an apocalyptic number.

54340105000 is a gapful number since it is divisible by the number (50) 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 54340105000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65772461700).

54340105000 is an abundant number, since it is smaller than the sum of its proper divisors (77204818400).

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

54340105000 is an frugal number, since it uses more digits than its factorization.

54340105000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 133 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

Adding to 54340105000 its reverse (50104345), we get a palindrome (54390209345).

The spelling of 54340105000 in words is "fifty-four billion, three hundred forty million, one hundred five thousand".