106312257 has 16 divisors (see below), whose sum is σ = 159447360. Its totient is φ = 70873380.

The previous prime is 106312249. The next prime is 106312259. The reversal of 106312257 is 752213601.

It is a happy number.

106312257 is a `hidden beast` number, since 1 + 0 + 631 + 2 + 25 + 7 = 666.

It is not a de Polignac number, because 106312257 - 2³ = 106312249 is a prime.

It is a super-2 number, since 2×106312257² = 22604591976868098, 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 106312257.

It is not an unprimeable number, because it can be changed into a prime (106312259) 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 15 ways as a sum of consecutive naturals, for example, 22119 + ... + 26492.

It is an arithmetic number, because the mean of its divisors is an integer number (9965460).

Almost surely, 2^106312257 is an apocalyptic number.

It is an amenable number.

106312257 is a deficient number, since it is larger than the sum of its proper divisors (53135103).

106312257 is an frugal number, since it uses more digits than its factorization.

106312257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48632 (or 48614 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 106312257 is about 10310.7835298778. The cubic root of 106312257 is about 473.7266088891.

Adding to 106312257 its reverse (752213601), we get a palindrome (858525858).

The spelling of 106312257 in words is "one hundred six million, three hundred twelve thousand, two hundred fifty-seven".