106667407 has 8 divisors (see below), whose sum is σ = 132988032. Its totient is φ = 83117400.

The previous prime is 106667371. The next prime is 106667441. The reversal of 106667407 is 704766601.

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 106667407 - 2⁷ = 106667279 is a prime.

It is a super-4 number, since 4×106667407⁴ (a number of 33 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106667447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 692569 + ... + 692722.

It is an arithmetic number, because the mean of its divisors is an integer number (16623504).

Almost surely, 2^106667407 is an apocalyptic number.

106667407 is a deficient number, since it is larger than the sum of its proper divisors (26320625).

106667407 is a wasteful number, since it uses less digits than its factorization.

106667407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1385309.

The product of its (nonzero) digits is 42336, while the sum is 37.

The square root of 106667407 is about 10327.9914310576. The cubic root of 106667407 is about 474.2535377989.

The spelling of 106667407 in words is "one hundred six million, six hundred sixty-seven thousand, four hundred seven".