105055133 has 2 divisors, whose sum is σ = 105055134. Its totient is φ = 105055132.

The previous prime is 105055117. The next prime is 105055141. The reversal of 105055133 is 331550501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 90592324 + 14462809 = 9518^2 + 3803^2 .

It is a cyclic number.

It is not a de Polignac number, because 105055133 - 2⁴ = 105055117 is a prime.

It is a super-2 number, since 2×105055133² = 22073161939295378, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105055099 and 105055108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105055193) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52527566 + 52527567.

It is an arithmetic number, because the mean of its divisors is an integer number (52527567).

Almost surely, 2^105055133 is an apocalyptic number.

It is an amenable number.

105055133 is a deficient number, since it is larger than the sum of its proper divisors (1).

105055133 is an equidigital number, since it uses as much as digits as its factorization.

105055133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1125, while the sum is 23.

The square root of 105055133 is about 10249.6406278464. The cubic root of 105055133 is about 471.8519552098.

The spelling of 105055133 in words is "one hundred five million, fifty-five thousand, one hundred thirty-three".