1105055111061 has 48 divisors (see below), whose sum is σ = 1882485483840. Its totient is φ = 617333218560.

The previous prime is 1105055111051. The next prime is 1105055111081. The reversal of 1105055111061 is 1601115505011.

1105055111061 is a `hidden beast` number, since 1 + 1 + 0 + 5 + 0 + 551 + 1 + 106 + 1 = 666.

It is not a de Polignac number, because 1105055111061 - 2⁵ = 1105055111029 is a prime.

It is a super-2 number, since 2×1105055111061² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1105055111021) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 7869360 + ... + 8008553.

It is an arithmetic number, because the mean of its divisors is an integer number (39218447580).

Almost surely, 2^{1105055111061} is an apocalyptic number.

1105055111061 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1105055111061 is a deficient number, since it is larger than the sum of its proper divisors (777430372779).

1105055111061 is a wasteful number, since it uses less digits than its factorization.

1105055111061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15877986 (or 15877983 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 27.

The spelling of 1105055111061 in words is "one trillion, one hundred five billion, fifty-five million, one hundred eleven thousand, sixty-one".