105366054005553 has 64 divisors (see below), whose sum is σ = 157897661402880. Its totient is φ = 61944575385600.

The previous prime is 105366054005479. The next prime is 105366054005609. The reversal of 105366054005553 is 355500450663501.

It is not a de Polignac number, because 105366054005553 - 2¹⁷ = 105366053874481 is a prime.

It is a super-2 number, since 2×105366054005553² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105366054005153) 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, 171346843 + ... + 171960671.

It is an arithmetic number, because the mean of its divisors is an integer number (2467150959420).

Almost surely, 2^{105366054005553} is an apocalyptic number.

It is an amenable number.

105366054005553 is a deficient number, since it is larger than the sum of its proper divisors (52531607397327).

105366054005553 is a wasteful number, since it uses less digits than its factorization.

105366054005553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 614610.

The product of its (nonzero) digits is 4050000, while the sum is 48.

The spelling of 105366054005553 in words is "one hundred five trillion, three hundred sixty-six billion, fifty-four million, five thousand, five hundred fifty-three".