105541564133 has 2 divisors, whose sum is σ = 105541564134. Its totient is φ = 105541564132.

The previous prime is 105541564109. The next prime is 105541564237. The reversal of 105541564133 is 331465145501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 78454329409 + 27087234724 = 280097^2 + 164582^2 .

It is a cyclic number.

It is not a de Polignac number, because 105541564133 - 2¹⁶ = 105541498597 is a prime.

It is a super-2 number, since 2×105541564133² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105541564333) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52770782066 + 52770782067.

It is an arithmetic number, because the mean of its divisors is an integer number (52770782067).

Almost surely, 2^105541564133 is an apocalyptic number.

It is an amenable number.

105541564133 is a deficient number, since it is larger than the sum of its proper divisors (1).

105541564133 is an equidigital number, since it uses as much as digits as its factorization.

105541564133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108000, while the sum is 38.

The spelling of 105541564133 in words is "one hundred five billion, five hundred forty-one million, five hundred sixty-four thousand, one hundred thirty-three".