105499601459969 has 2 divisors, whose sum is σ = 105499601459970. Its totient is φ = 105499601459968.

The previous prime is 105499601459933. The next prime is 105499601460017. The reversal of 105499601459969 is 969954106994501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 92795459641600 + 12704141818369 = 9633040^2 + 3564287^2 .

It is a cyclic number.

It is not a de Polignac number, because 105499601459969 - 2²⁴ = 105499584682753 is a prime.

It is a super-2 number, since 2×105499601459969² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105499601459969.

It is not a weakly prime, because it can be changed into another prime (105499601452969) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52749800729984 + 52749800729985.

It is an arithmetic number, because the mean of its divisors is an integer number (52749800729985).

Almost surely, 2^{105499601459969} is an apocalyptic number.

It is an amenable number.

105499601459969 is a deficient number, since it is larger than the sum of its proper divisors (1).

105499601459969 is an equidigital number, since it uses as much as digits as its factorization.

105499601459969 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 850305600, while the sum is 77.

The spelling of 105499601459969 in words is "one hundred five trillion, four hundred ninety-nine billion, six hundred one million, four hundred fifty-nine thousand, nine hundred sixty-nine".