10105116611055 has 16 divisors (see below), whose sum is σ = 16544190917760. Its totient is φ = 5264060745888.

The previous prime is 10105116611047. The next prime is 10105116611069. The reversal of 10105116611055 is 55011661150101.

It is not a de Polignac number, because 10105116611055 - 2³ = 10105116611047 is a prime.

It is a super-2 number, since 2×10105116611055² (a number of 27 digits) contains 22 as substring.

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, 7833423085 + ... + 7833424374.

It is an arithmetic number, because the mean of its divisors is an integer number (1034011932360).

Almost surely, 2^{10105116611055} is an apocalyptic number.

10105116611055 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10105116611055 is a deficient number, since it is larger than the sum of its proper divisors (6439074306705).

10105116611055 is a wasteful number, since it uses less digits than its factorization.

10105116611055 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15666847510.

The product of its (nonzero) digits is 4500, while the sum is 33.

Adding to 10105116611055 its reverse (55011661150101), we get a palindrome (65116777761156).

The spelling of 10105116611055 in words is "ten trillion, one hundred five billion, one hundred sixteen million, six hundred eleven thousand, fifty-five".