105051006056021 has 2 divisors, whose sum is σ = 105051006056022. Its totient is φ = 105051006056020.

The previous prime is 105051006055987. The next prime is 105051006056033. The reversal of 105051006056021 is 120650600150501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 104773935415396 + 277070640625 = 10235914^2 + 526375^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105051006056021 is a prime.

It is a super-2 number, since 2×105051006056021² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105051006656021) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52525503028010 + 52525503028011.

It is an arithmetic number, because the mean of its divisors is an integer number (52525503028011).

Almost surely, 2^{105051006056021} is an apocalyptic number.

It is an amenable number.

105051006056021 is a deficient number, since it is larger than the sum of its proper divisors (1).

105051006056021 is an equidigital number, since it uses as much as digits as its factorization.

105051006056021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9000, while the sum is 32.

The spelling of 105051006056021 in words is "one hundred five trillion, fifty-one billion, six million, fifty-six thousand, twenty-one".