105345249967 has 2 divisors, whose sum is σ = 105345249968. Its totient is φ = 105345249966.

The previous prime is 105345249931. The next prime is 105345250033. The reversal of 105345249967 is 769942543501.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 105345249967 - 2⁷ = 105345249839 is a prime.

It is a super-2 number, since 2×105345249967² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (105345249907) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52672624983 + 52672624984.

It is an arithmetic number, because the mean of its divisors is an integer number (52672624984).

Almost surely, 2^105345249967 is an apocalyptic number.

105345249967 is a deficient number, since it is larger than the sum of its proper divisors (1).

105345249967 is an equidigital number, since it uses as much as digits as its factorization.

105345249967 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 8164800, while the sum is 55.

The spelling of 105345249967 in words is "one hundred five billion, three hundred forty-five million, two hundred forty-nine thousand, nine hundred sixty-seven".