105116697 has 28 divisors (see below), whose sum is σ = 180126400. Its totient is φ = 60063768.

The previous prime is 105116653. The next prime is 105116699. The reversal of 105116697 is 796611501.

It is a happy number.

It is not a de Polignac number, because 105116697 - 2⁶ = 105116633 is a prime.

It is a super-2 number, since 2×105116697² = 22099039976379618, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105116699) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 5197 + ... + 15402.

Almost surely, 2^105116697 is an apocalyptic number.

It is an amenable number.

105116697 is a deficient number, since it is larger than the sum of its proper divisors (75009703).

105116697 is an frugal number, since it uses more digits than its factorization.

105116697 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20624 (or 20609 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The square root of 105116697 is about 10252.6434152369. The cubic root of 105116697 is about 471.9441081597.

The spelling of 105116697 in words is "one hundred five million, one hundred sixteen thousand, six hundred ninety-seven".