105011010101051 has 8 divisors (see below), whose sum is σ = 105347219893104. Its totient is φ = 104675211577440.

The previous prime is 105011010101017. The next prime is 105011010101113. The reversal of 105011010101051 is 150101010110501.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 105011010101051 - 2¹⁸ = 105011009838907 is a prime.

It is a super-2 number, since 2×105011010101051² (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 (105011010101351) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 102305621 + ... + 103326966.

It is an arithmetic number, because the mean of its divisors is an integer number (13168402486638).

Almost surely, 2^{105011010101051} is an apocalyptic number.

105011010101051 is a deficient number, since it is larger than the sum of its proper divisors (336209792053).

105011010101051 is a wasteful number, since it uses less digits than its factorization.

105011010101051 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205634221.

The product of its (nonzero) digits is 25, while the sum is 17.

Adding to 105011010101051 its reverse (150101010110501), we get a palindrome (255112020211552).

The spelling of 105011010101051 in words is "one hundred five trillion, eleven billion, ten million, one hundred one thousand, fifty-one".