11006105550610 has 48 divisors (see below), whose sum is σ = 21073186907136. Its totient is φ = 4137894131616.

The previous prime is 11006105550589. The next prime is 11006105550631. The reversal of 11006105550610 is 1605550160011.

It is an interprime number because it is at equal distance from previous prime (11006105550589) and next prime (11006105550631).

It is a super-2 number, since 2×11006105550610² (a number of 27 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 23 ways as a sum of consecutive naturals, for example, 11544612 + ... + 12461551.

It is an arithmetic number, because the mean of its divisors is an integer number (439024727232).

Almost surely, 2^{11006105550610} is an apocalyptic number.

11006105550610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11006105550610 is a deficient number, since it is larger than the sum of its proper divisors (10067081356526).

11006105550610 is a wasteful number, since it uses less digits than its factorization.

11006105550610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24006335 (or 24006316 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 31.

The spelling of 11006105550610 in words is "eleven trillion, six billion, one hundred five million, five hundred fifty thousand, six hundred ten".