105680257 has 4 divisors (see below), whose sum is σ = 105716016. Its totient is φ = 105644500.

The previous prime is 105680233. The next prime is 105680273. The reversal of 105680257 is 752086501.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-105680257 is a prime.

It is a super-2 number, since 2×105680257² = 22336633439172098, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105680207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 13003 + ... + 19504.

It is an arithmetic number, because the mean of its divisors is an integer number (26429004).

Almost surely, 2^105680257 is an apocalyptic number.

105680257 is the 6502-nd heptagonal number.

It is an amenable number.

105680257 is a deficient number, since it is larger than the sum of its proper divisors (35759).

105680257 is an equidigital number, since it uses as much as digits as its factorization.

105680257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35758.

The product of its (nonzero) digits is 16800, while the sum is 34.

The square root of 105680257 is about 10280.0903206149. The cubic root of 105680257 is about 472.7860134858.

The spelling of 105680257 in words is "one hundred five million, six hundred eighty thousand, two hundred fifty-seven".