106265317 has 8 divisors (see below), whose sum is σ = 115261272. Its totient is φ = 97574400.

The previous prime is 106265311. The next prime is 106265329. The reversal of 106265317 is 713562601.

It can be written as a sum of positive squares in 4 ways, for example, as 34117281 + 72148036 = 5841^2 + 8494^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 106265317 - 2⁷ = 106265189 is a prime.

It is a super-2 number, since 2×106265317² = 22584635194220978, 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 (106265311) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 75534 + ... + 76927.

It is an arithmetic number, because the mean of its divisors is an integer number (14407659).

Almost surely, 2^106265317 is an apocalyptic number.

106265317 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

106265317 is a deficient number, since it is larger than the sum of its proper divisors (8995955).

106265317 is a wasteful number, since it uses less digits than its factorization.

106265317 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152519.

The product of its (nonzero) digits is 7560, while the sum is 31.

The square root of 106265317 is about 10308.5070209027. The cubic root of 106265317 is about 473.6568771975.

The spelling of 106265317 in words is "one hundred six million, two hundred sixty-five thousand, three hundred seventeen".