105155517833 has 2 divisors, whose sum is σ = 105155517834. Its totient is φ = 105155517832.

The previous prime is 105155517743. The next prime is 105155517839. The reversal of 105155517833 is 338715551501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 68148146704 + 37007371129 = 261052^2 + 192373^2 .

It is a cyclic number.

It is not a de Polignac number, because 105155517833 - 2¹⁴ = 105155501449 is a prime.

It is a super-2 number, since 2×105155517833² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105155517839) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52577758916 + 52577758917.

It is an arithmetic number, because the mean of its divisors is an integer number (52577758917).

Almost surely, 2^105155517833 is an apocalyptic number.

It is an amenable number.

105155517833 is a deficient number, since it is larger than the sum of its proper divisors (1).

105155517833 is an equidigital number, since it uses as much as digits as its factorization.

105155517833 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 315000, while the sum is 44.

The spelling of 105155517833 in words is "one hundred five billion, one hundred fifty-five million, five hundred seventeen thousand, eight hundred thirty-three".