106005011967 has 12 divisors (see below), whose sum is σ = 153122154120. Its totient is φ = 70668252528.

The previous prime is 106005011939. The next prime is 106005011999. The reversal of 106005011967 is 769110500601.

It is a happy number.

106005011967 is a `hidden beast` number, since 1 + 0 + 60 + 0 + 501 + 1 + 96 + 7 = 666.

It is not a de Polignac number, because 106005011967 - 2⁸ = 106005011711 is a prime.

It is a super-2 number, since 2×106005011967² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106005011867) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 311584 + ... + 555962.

It is an arithmetic number, because the mean of its divisors is an integer number (12760179510).

Almost surely, 2^106005011967 is an apocalyptic number.

106005011967 is a deficient number, since it is larger than the sum of its proper divisors (47117142153).

106005011967 is a wasteful number, since it uses less digits than its factorization.

106005011967 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292582 (or 292579 counting only the distinct ones).

The product of its (nonzero) digits is 11340, while the sum is 36.

The spelling of 106005011967 in words is "one hundred six billion, five million, eleven thousand, nine hundred sixty-seven".