105540044626512 has 60 divisors (see below), whose sum is σ = 295404712552404. Its totient is φ = 35175349347840.

The previous prime is 105540044626493. The next prime is 105540044626529. The reversal of 105540044626512 is 215626440045501.

105540044626512 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 4 + 0 + 0 + 4 + 4 + 626 + 5 + 12 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 63092265708096 + 42447778918416 = 7943064^2 + 6515196^2 .

It is a super-2 number, since 2×105540044626512² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 47509573 + ... + 49681380.

Almost surely, 2^{105540044626512} is an apocalyptic number.

105540044626512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105540044626512 is an abundant number, since it is smaller than the sum of its proper divisors (189864667925892).

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

105540044626512 is a wasteful number, since it uses less digits than its factorization.

105540044626512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97198508 (or 97198499 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 105540044626512 in words is "one hundred five trillion, five hundred forty billion, forty-four million, six hundred twenty-six thousand, five hundred twelve".