97105 has 4 divisors (see below), whose sum is σ = 116532. Its totient is φ = 77680.

The previous prime is 97103. The next prime is 97117. The reversal of 97105 is 50179.

97105 = 94² + 95² + ... + 103².

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 71824 + 25281 = 268^2 + 159^2 .

It is not a de Polignac number, because 97105 - 2¹ = 97103 is a prime.

It is a Smith number, since the sum of its digits (22) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a Duffinian number.

97105 is a lucky number.

It is not an unprimeable number, because it can be changed into a prime (97103) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9706 + ... + 9715.

It is an arithmetic number, because the mean of its divisors is an integer number (29133).

2⁹⁷¹⁰⁵ is an apocalyptic number.

It is an amenable number.

97105 is a deficient number, since it is larger than the sum of its proper divisors (19427).

97105 is a wasteful number, since it uses less digits than its factorization.

97105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19426.

The product of its (nonzero) digits is 315, while the sum is 22.

The square root of 97105 is about 311.6167517962. The cubic root of 97105 is about 45.9635817613.

It can be divided in two parts, 97 and 105, that added together give a palindrome (202).

The spelling of 97105 in words is "ninety-seven thousand, one hundred five".