106005007 has 16 divisors (see below), whose sum is σ = 110484000. Its totient is φ = 101658240.

The previous prime is 106004993. The next prime is 106005023. The reversal of 106005007 is 700500601.

It is a cyclic number.

It is not a de Polignac number, because 106005007 - 2¹⁵ = 105972239 is a prime.

It is a super-2 number, since 2×106005007² = 22474123018140098, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106005077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 711369 + ... + 711517.

It is an arithmetic number, because the mean of its divisors is an integer number (6905250).

Almost surely, 2^106005007 is an apocalyptic number.

106005007 is a deficient number, since it is larger than the sum of its proper divisors (4478993).

106005007 is a wasteful number, since it uses less digits than its factorization.

106005007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 426.

The product of its (nonzero) digits is 210, while the sum is 19.

The square root of 106005007 is about 10295.8732995312. The cubic root of 106005007 is about 473.2698006486.

Adding to 106005007 its reverse (700500601), we get a palindrome (806505608).

The spelling of 106005007 in words is "one hundred six million, five thousand, seven".