105499601459933 has 2 divisors, whose sum is σ = 105499601459934. Its totient is φ = 105499601459932.

The previous prime is 105499601459893. The next prime is 105499601459969. The reversal of 105499601459933 is 339954106994501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95398156771204 + 10101444688729 = 9767198^2 + 3178277^2 .

It is a cyclic number.

It is not a de Polignac number, because 105499601459933 - 2¹² = 105499601455837 is a prime.

It is a super-2 number, since 2×105499601459933² (a number of 29 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105499601459633) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52749800729966 + 52749800729967.

It is an arithmetic number, because the mean of its divisors is an integer number (52749800729967).

Almost surely, 2^{105499601459933} is an apocalyptic number.

It is an amenable number.

105499601459933 is a deficient number, since it is larger than the sum of its proper divisors (1).

105499601459933 is an equidigital number, since it uses as much as digits as its factorization.

105499601459933 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 141717600, while the sum is 68.

The spelling of 105499601459933 in words is "one hundred five trillion, four hundred ninety-nine billion, six hundred one million, four hundred fifty-nine thousand, nine hundred thirty-three".