105267969 has 6 divisors (see below), whose sum is σ = 152053746. Its totient is φ = 70178640.

The previous prime is 105267959. The next prime is 105267973. The reversal of 105267969 is 969762501.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 99201600 + 6066369 = 9960^2 + 2463^2 .

It is a de Polignac number, because none of the positive numbers 2^k-105267969 is a prime.

It is a super-2 number, since 2×105267969² = 22162690594769922, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105267919) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5848212 + ... + 5848229.

It is an arithmetic number, because the mean of its divisors is an integer number (25342291).

Almost surely, 2^105267969 is an apocalyptic number.

It is an amenable number.

105267969 is a deficient number, since it is larger than the sum of its proper divisors (46785777).

105267969 is a wasteful number, since it uses less digits than its factorization.

105267969 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11696447 (or 11696444 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The square root of 105267969 is about 10260.0179824404. The cubic root of 105267969 is about 472.1703890841.

The spelling of 105267969 in words is "one hundred five million, two hundred sixty-seven thousand, nine hundred sixty-nine".