10105550111061 has 32 divisors (see below), whose sum is σ = 15576956064000. Its totient is φ = 6467122275264.

The previous prime is 10105550111051. The next prime is 10105550111099. The reversal of 10105550111061 is 16011105550101.

10105550111061 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 5 + 550 + 1 + 1 + 106 + 1 = 666.

It is not a de Polignac number, because 10105550111061 - 2⁵ = 10105550111029 is a prime.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10105550111051) 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 31 ways as a sum of consecutive naturals, for example, 37165681 + ... + 37436598.

It is an arithmetic number, because the mean of its divisors is an integer number (486779877000).

Almost surely, 2^{10105550111061} is an apocalyptic number.

It is an amenable number.

10105550111061 is a deficient number, since it is larger than the sum of its proper divisors (5471405952939).

10105550111061 is a wasteful number, since it uses less digits than its factorization.

10105550111061 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74602490 (or 74602484 counting only the distinct ones).

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

Adding to 10105550111061 its reverse (16011105550101), we get a palindrome (26116655661162).

The spelling of 10105550111061 in words is "ten trillion, one hundred five billion, five hundred fifty million, one hundred eleven thousand, sixty-one".