106807165 has 8 divisors (see below), whose sum is σ = 128833848. Its totient is φ = 85002240.

The previous prime is 106807133. The next prime is 106807177. The reversal of 106807165 is 561708601.

It can be written as a sum of positive squares in 4 ways, for example, as 9449476 + 97357689 = 3074^2 + 9867^2 .

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

It is not a de Polignac number, because 106807165 - 2⁵ = 106807133 is a prime.

It is a super-2 number, since 2×106807165² = 22815540990674450, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 106807165.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 54376 + ... + 56305.

It is an arithmetic number, because the mean of its divisors is an integer number (16104231).

Almost surely, 2^106807165 is an apocalyptic number.

It is an amenable number.

106807165 is a deficient number, since it is larger than the sum of its proper divisors (22026683).

106807165 is a wasteful number, since it uses less digits than its factorization.

106807165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110879.

The product of its (nonzero) digits is 10080, while the sum is 34.

The square root of 106807165 is about 10334.7551978748. The cubic root of 106807165 is about 474.4605732354.

The spelling of 106807165 in words is "one hundred six million, eight hundred seven thousand, one hundred sixty-five".