105967164733 has 2 divisors, whose sum is σ = 105967164734. Its totient is φ = 105967164732.

The previous prime is 105967164683. The next prime is 105967164757. The reversal of 105967164733 is 337461769501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 65988361924 + 39978802809 = 256882^2 + 199947^2 .

It is a cyclic number.

It is not a de Polignac number, because 105967164733 - 2¹⁷ = 105967033661 is a prime.

It is a super-2 number, since 2×105967164733² (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 (105967164833) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52983582366 + 52983582367.

It is an arithmetic number, because the mean of its divisors is an integer number (52983582367).

Almost surely, 2^105967164733 is an apocalyptic number.

It is an amenable number.

105967164733 is a deficient number, since it is larger than the sum of its proper divisors (1).

105967164733 is an equidigital number, since it uses as much as digits as its factorization.

105967164733 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2857680, while the sum is 52.

The spelling of 105967164733 in words is "one hundred five billion, nine hundred sixty-seven million, one hundred sixty-four thousand, seven hundred thirty-three".