105313397 has 12 divisors (see below), whose sum is σ = 123202080. Its totient is φ = 89756856.

The previous prime is 105313393. The next prime is 105313421. The reversal of 105313397 is 793313501.

It is not a de Polignac number, because 105313397 - 2² = 105313393 is a prime.

It is a super-2 number, since 2×105313397² = 22181823175359218, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105313391) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2768 + ... + 14774.

It is an arithmetic number, because the mean of its divisors is an integer number (10266840).

Almost surely, 2^105313397 is an apocalyptic number.

It is an amenable number.

105313397 is a deficient number, since it is larger than the sum of its proper divisors (17888683).

105313397 is a wasteful number, since it uses less digits than its factorization.

105313397 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12200 (or 12193 counting only the distinct ones).

The product of its (nonzero) digits is 8505, while the sum is 32.

The square root of 105313397 is about 10262.2315799245. The cubic root of 105313397 is about 472.2383004404.

Adding to 105313397 its reverse (793313501), we get a palindrome (898626898).

The spelling of 105313397 in words is "one hundred five million, three hundred thirteen thousand, three hundred ninety-seven".