105967164803 has 2 divisors, whose sum is σ = 105967164804. Its totient is φ = 105967164802.

The previous prime is 105967164757. The next prime is 105967164817. The reversal of 105967164803 is 308461769501.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 105967164803 - 2¹⁸ = 105966902659 is a prime.

It is a super-2 number, since 2×105967164803² (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105967164833) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52983582401 + 52983582402.

It is an arithmetic number, because the mean of its divisors is an integer number (52983582402).

Almost surely, 2^105967164803 is an apocalyptic number.

105967164803 is a deficient number, since it is larger than the sum of its proper divisors (1).

105967164803 is an equidigital number, since it uses as much as digits as its factorization.

105967164803 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1088640, while the sum is 50.

The spelling of 105967164803 in words is "one hundred five billion, nine hundred sixty-seven million, one hundred sixty-four thousand, eight hundred three".