105000769 has 2 divisors, whose sum is σ = 105000770. Its totient is φ = 105000768.

The previous prime is 105000757. The next prime is 105000781. The reversal of 105000769 is 967000501.

It is a happy number.

It is a balanced prime because it is at equal distance from previous prime (105000757) and next prime (105000781).

It can be written as a sum of positive squares in only one way, i.e., 68277169 + 36723600 = 8263^2 + 6060^2 .

It is a cyclic number.

It is not a de Polignac number, because 105000769 - 2¹³ = 104992577 is a prime.

It is a super-2 number, since 2×105000769² = 22050322981182722, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105000169) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52500384 + 52500385.

It is an arithmetic number, because the mean of its divisors is an integer number (52500385).

Almost surely, 2^105000769 is an apocalyptic number.

It is an amenable number.

105000769 is a deficient number, since it is larger than the sum of its proper divisors (1).

105000769 is an equidigital number, since it uses as much as digits as its factorization.

105000769 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1890, while the sum is 28.

The square root of 105000769 is about 10246.9882892487. The cubic root of 105000769 is about 471.7705497452.

The spelling of 105000769 in words is "one hundred five million, seven hundred sixty-nine", and thus it is an aban number.