105540076273536 has 384 divisors, whose sum is σ = 311347290758400. Its totient is φ = 34305847640064.

The previous prime is 105540076273529. The next prime is 105540076273537. The reversal of 105540076273536 is 635372670045501.

105540076273536 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 4 + 0 + 0 + 7 + 627 + 3 + 5 + 3 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×105540076273536² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105540076273537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7492012285 + ... + 7492026371.

It is an arithmetic number, because the mean of its divisors is an integer number (810800236350).

Almost surely, 2^{105540076273536} is an apocalyptic number.

105540076273536 is a gapful number since it is divisible by the number (16) 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 105540076273536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155673645379200).

105540076273536 is an abundant number, since it is smaller than the sum of its proper divisors (205807214484864).

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

105540076273536 is a wasteful number, since it uses less digits than its factorization.

105540076273536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15146 (or 15131 counting only the distinct ones).

The product of its (nonzero) digits is 15876000, while the sum is 54.

The spelling of 105540076273536 in words is "one hundred five trillion, five hundred forty billion, seventy-six million, two hundred seventy-three thousand, five hundred thirty-six".