106752165 has 32 divisors (see below), whose sum is σ = 193630080. Its totient is φ = 49787136.

The previous prime is 106752143. The next prime is 106752209. The reversal of 106752165 is 561257601.

It is not a de Polignac number, because 106752165 - 2¹¹ = 106750117 is a prime.

It is a super-2 number, since 2×106752165² = 22792049464374450, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10702 + ... + 18111.

It is an arithmetic number, because the mean of its divisors is an integer number (6050940).

Almost surely, 2^106752165 is an apocalyptic number.

106752165 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106752165 is a deficient number, since it is larger than the sum of its proper divisors (86877915).

106752165 is a wasteful number, since it uses less digits than its factorization.

106752165 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28853.

The product of its (nonzero) digits is 12600, while the sum is 33.

The square root of 106752165 is about 10332.0939310481. The cubic root of 106752165 is about 474.3791186125.

The spelling of 106752165 in words is "one hundred six million, seven hundred fifty-two thousand, one hundred sixty-five".