51105101 has 2 divisors, whose sum is σ = 51105102. Its totient is φ = 51105100.

The previous prime is 51105083. The next prime is 51105107. The reversal of 51105101 is 10150115.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 40386025 + 10719076 = 6355^2 + 3274^2 .

It is a cyclic number.

It is not a de Polignac number, because 51105101 - 2¹⁰ = 51104077 is a prime.

It is a super-2 number, since 2×51105101² = 5223462696440402, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (51105107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 25552550 + 25552551.

It is an arithmetic number, because the mean of its divisors is an integer number (25552551).

Almost surely, 2^51105101 is an apocalyptic number.

It is an amenable number.

51105101 is a deficient number, since it is larger than the sum of its proper divisors (1).

51105101 is an equidigital number, since it uses as much as digits as its factorization.

51105101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 25, while the sum is 14.

The square root of 51105101 is about 7148.7831831718. The cubic root of 51105101 is about 371.0975470207.

Adding to 51105101 its reverse (10150115), we get a palindrome (61255216).

The spelling of 51105101 in words is "fifty-one million, one hundred five thousand, one hundred one".