110506105105552 has 40 divisors (see below), whose sum is σ = 244138487871096. Its totient is φ = 48002651990016.

The previous prime is 110506105105463. The next prime is 110506105105619. The reversal of 110506105105552 is 255501501605011.

It can be written as a sum of positive squares in 4 ways, for example, as 36332395748496 + 74173709357056 = 6027636^2 + 8612416^2 .

It is a super-2 number, since 2×110506105105552² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15625859743 + ... + 15625866814.

Almost surely, 2^{110506105105552} is an apocalyptic number.

It is an amenable number.

110506105105552 is an abundant number, since it is smaller than the sum of its proper divisors (133632382765544).

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

110506105105552 is a wasteful number, since it uses less digits than its factorization.

110506105105552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31251726595 (or 31251726589 counting only the distinct ones).

The product of its (nonzero) digits is 37500, while the sum is 37.

The spelling of 110506105105552 in words is "one hundred ten trillion, five hundred six billion, one hundred five million, one hundred five thousand, five hundred fifty-two".