106672565 has 8 divisors (see below), whose sum is σ = 129140568. Its totient is φ = 84582400.

The previous prime is 106672561. The next prime is 106672567. The reversal of 106672565 is 565276601.

It can be written as a sum of positive squares in 4 ways, for example, as 2979076 + 103693489 = 1726^2 + 10183^2 .

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

It is not a de Polignac number, because 106672565 - 2² = 106672561 is a prime.

It is a super-2 number, since 2×106672565² = 22758072247358450, 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 (106672561) 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, 93836 + ... + 94965.

It is an arithmetic number, because the mean of its divisors is an integer number (16142571).

Almost surely, 2^106672565 is an apocalyptic number.

It is an amenable number.

106672565 is a deficient number, since it is larger than the sum of its proper divisors (22468003).

106672565 is a wasteful number, since it uses less digits than its factorization.

106672565 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188919.

The product of its (nonzero) digits is 75600, while the sum is 38.

The square root of 106672565 is about 10328.2411377737. The cubic root of 106672565 is about 474.2611819969.

The spelling of 106672565 in words is "one hundred six million, six hundred seventy-two thousand, five hundred sixty-five".