105262661033 has 2 divisors, whose sum is σ = 105262661034. Its totient is φ = 105262661032.

The previous prime is 105262661011. The next prime is 105262661059. The reversal of 105262661033 is 330166262501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 103238830864 + 2023830169 = 321308^2 + 44987^2 .

It is a cyclic number.

It is not a de Polignac number, because 105262661033 - 2¹⁴ = 105262644649 is a prime.

It is a super-2 number, since 2×105262661033² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105262660984 and 105262661002.

It is not a weakly prime, because it can be changed into another prime (105262661633) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52631330516 + 52631330517.

It is an arithmetic number, because the mean of its divisors is an integer number (52631330517).

Almost surely, 2^105262661033 is an apocalyptic number.

It is an amenable number.

105262661033 is a deficient number, since it is larger than the sum of its proper divisors (1).

105262661033 is an equidigital number, since it uses as much as digits as its factorization.

105262661033 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 38880, while the sum is 35.

The spelling of 105262661033 in words is "one hundred five billion, two hundred sixty-two million, six hundred sixty-one thousand, thirty-three".