100105506060533 has 2 divisors, whose sum is σ = 100105506060534. Its totient is φ = 100105506060532.

The previous prime is 100105506060449. The next prime is 100105506060587. The reversal of 100105506060533 is 335060605501001.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 55738423477489 + 44367082583044 = 7465817^2 + 6660862^2 .

It is a cyclic number.

It is not a de Polignac number, because 100105506060533 - 2³² = 100101211093237 is a prime.

It is a super-2 number, since 2×100105506060533² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100105506060493 and 100105506060502.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100105506960533) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50052753030266 + 50052753030267.

It is an arithmetic number, because the mean of its divisors is an integer number (50052753030267).

Almost surely, 2^{100105506060533} is an apocalyptic number.

It is an amenable number.

100105506060533 is a deficient number, since it is larger than the sum of its proper divisors (1).

100105506060533 is an equidigital number, since it uses as much as digits as its factorization.

100105506060533 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40500, while the sum is 35.

The spelling of 100105506060533 in words is "one hundred trillion, one hundred five billion, five hundred six million, sixty thousand, five hundred thirty-three".