106765091 has 8 divisors (see below), whose sum is σ = 110226144. Its totient is φ = 103334400.

The previous prime is 106765069. The next prime is 106765097. The reversal of 106765091 is 190567601.

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 106765091 - 2¹⁸ = 106502947 is a prime.

It is a super-3 number, since 3×106765091³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106765097) 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, 335 + ... + 14616.

It is an arithmetic number, because the mean of its divisors is an integer number (13778268).

Almost surely, 2^106765091 is an apocalyptic number.

106765091 is a deficient number, since it is larger than the sum of its proper divisors (3461053).

106765091 is a wasteful number, since it uses less digits than its factorization.

106765091 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15181.

The product of its (nonzero) digits is 11340, while the sum is 35.

The square root of 106765091 is about 10332.7194387538. The cubic root of 106765091 is about 474.3982644444.

The spelling of 106765091 in words is "one hundred six million, seven hundred sixty-five thousand, ninety-one".