106111665 has 48 divisors (see below), whose sum is σ = 204961536. Its totient is φ = 50342400.

The previous prime is 106111661. The next prime is 106111723. The reversal of 106111665 is 566111601.

It is not a de Polignac number, because 106111665 - 2² = 106111661 is a prime.

It is a super-2 number, since 2×106111665² = 22519370898144450, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106111661) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20985 + ... + 25545.

It is an arithmetic number, because the mean of its divisors is an integer number (4270032).

Almost surely, 2^106111665 is an apocalyptic number.

106111665 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106111665 is a deficient number, since it is larger than the sum of its proper divisors (98849871).

106111665 is a wasteful number, since it uses less digits than its factorization.

106111665 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4630 (or 4627 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 27.

The square root of 106111665 is about 10301.0516453418. The cubic root of 106111665 is about 473.4284758271.

The spelling of 106111665 in words is "one hundred six million, one hundred eleven thousand, six hundred sixty-five".