111051005506105 has 24 divisors (see below), whose sum is σ = 158799068515080. Its totient is φ = 74291961864960.

The previous prime is 111051005506097. The next prime is 111051005506127. The reversal of 111051005506105 is 501605500150111.

It can be written as a sum of positive squares in 4 ways, for example, as 2907062510121 + 108143942995984 = 1705011^2 + 10399228^2 .

It is not a de Polignac number, because 111051005506105 - 2³ = 111051005506097 is a prime.

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 23 ways as a sum of consecutive naturals, for example, 5527665690 + ... + 5527685779.

It is an arithmetic number, because the mean of its divisors is an integer number (6616627854795).

Almost surely, 2^{111051005506105} is an apocalyptic number.

It is an amenable number.

111051005506105 is a deficient number, since it is larger than the sum of its proper divisors (47748063008975).

111051005506105 is a wasteful number, since it uses less digits than its factorization.

111051005506105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11055351529 (or 11055351522 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 31.

Adding to 111051005506105 its reverse (501605500150111), we get a palindrome (612656505656216).

The spelling of 111051005506105 in words is "one hundred eleven trillion, fifty-one billion, five million, five hundred six thousand, one hundred five".