106905667 has 8 divisors (see below), whose sum is σ = 116936640. Its totient is φ = 96926760.

The previous prime is 106905649. The next prime is 106905677. The reversal of 106905667 is 766509601.

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 106905667 - 2²³ = 98517059 is a prime.

It is a super-2 number, since 2×106905667² = 22857643273429778, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106905677) 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, 8653 + ... + 16990.

It is an arithmetic number, because the mean of its divisors is an integer number (14617080).

Almost surely, 2^106905667 is an apocalyptic number.

106905667 is a deficient number, since it is larger than the sum of its proper divisors (10030973).

106905667 is a wasteful number, since it uses less digits than its factorization.

106905667 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26033.

The product of its (nonzero) digits is 68040, while the sum is 40.

The square root of 106905667 is about 10339.5196696945. The cubic root of 106905667 is about 474.6063841638.

The spelling of 106905667 in words is "one hundred six million, nine hundred five thousand, six hundred sixty-seven".