105101111056051 has 16 divisors (see below), whose sum is σ = 114877443628800. Its totient is φ = 95361810275680.

The previous prime is 105101111056013. The next prime is 105101111056063. The reversal of 105101111056051 is 150650111101501.

It is a cyclic number.

It is not a de Polignac number, because 105101111056051 - 2¹¹ = 105101111054003 is a prime.

It is a super-2 number, since 2×105101111056051² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105101111056351) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22917960 + ... + 27118906.

It is an arithmetic number, because the mean of its divisors is an integer number (7179840226800).

Almost surely, 2^{105101111056051} is an apocalyptic number.

105101111056051 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

105101111056051 is a deficient number, since it is larger than the sum of its proper divisors (9776332572749).

105101111056051 is a wasteful number, since it uses less digits than its factorization.

105101111056051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4205354.

The product of its (nonzero) digits is 750, while the sum is 28.

Adding to 105101111056051 its reverse (150650111101501), we get a palindrome (255751222157552).

The spelling of 105101111056051 in words is "one hundred five trillion, one hundred one billion, one hundred eleven million, fifty-six thousand, fifty-one".