105155066535504 has 40 divisors (see below), whose sum is σ = 273029525572320. Its totient is φ = 34873761487488.

The previous prime is 105155066535473. The next prime is 105155066535509. The reversal of 105155066535504 is 405535660551501.

It is a super-2 number, since 2×105155066535504² (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 (105155066535509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5560220374 + ... + 5560239285.

It is an arithmetic number, because the mean of its divisors is an integer number (6825738139308).

Almost surely, 2^{105155066535504} is an apocalyptic number.

It is an amenable number.

105155066535504 is an abundant number, since it is smaller than the sum of its proper divisors (167874459036816).

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

105155066535504 is a wasteful number, since it uses less digits than its factorization.

105155066535504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11120459867 (or 11120459861 counting only the distinct ones).

The product of its (nonzero) digits is 6750000, while the sum is 51.

The spelling of 105155066535504 in words is "one hundred five trillion, one hundred fifty-five billion, sixty-six million, five hundred thirty-five thousand, five hundred four".