11105051101056 has 128 divisors (see below), whose sum is σ = 35754899500800. Its totient is φ = 3365166988800.

The previous prime is 11105051101049. The next prime is 11105051101097. The reversal of 11105051101056 is 65010115050111.

11105051101056 is a `hidden beast` number, since 1 + 1 + 1 + 0 + 505 + 1 + 101 + 0 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 146019580 + ... + 146095611.

It is an arithmetic number, because the mean of its divisors is an integer number (279335152350).

Almost surely, 2^{11105051101056} is an apocalyptic number.

11105051101056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11105051101056 is an abundant number, since it is smaller than the sum of its proper divisors (24649848399744).

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

11105051101056 is a wasteful number, since it uses less digits than its factorization.

11105051101056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292115225 (or 292115207 counting only the distinct ones).

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

Adding to 11105051101056 its reverse (65010115050111), we get a palindrome (76115166151167).

The spelling of 11105051101056 in words is "eleven trillion, one hundred five billion, fifty-one million, one hundred one thousand, fifty-six".