105311097 has 24 divisors (see below), whose sum is σ = 158645760. Its totient is φ = 69809040.

The previous prime is 105311077. The next prime is 105311117. The reversal of 105311097 is 790113501.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (105311077) and next prime (105311117).

It is not a de Polignac number, because 105311097 - 2⁶ = 105311033 is a prime.

It is a super-2 number, since 2×105311097² = 22180854302686818, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 105311097.

It is not an unprimeable number, because it can be changed into a prime (105311077) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 45279 + ... + 47547.

It is an arithmetic number, because the mean of its divisors is an integer number (6610240).

Almost surely, 2^105311097 is an apocalyptic number.

It is an amenable number.

105311097 is a deficient number, since it is larger than the sum of its proper divisors (53334663).

105311097 is an equidigital number, since it uses as much as digits as its factorization.

105311097 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2475 (or 2463 counting only the distinct ones).

The product of its (nonzero) digits is 945, while the sum is 27.

The square root of 105311097 is about 10262.1195179164. The cubic root of 105311097 is about 472.2348625872.

Adding to 105311097 its reverse (790113501), we get a palindrome (895424598).

It can be divided in two parts, 10531 and 1097, that added together give a triangular number (11628 = T₁₅₂).

The spelling of 105311097 in words is "one hundred five million, three hundred eleven thousand, ninety-seven".