106768011 has 64 divisors (see below), whose sum is σ = 180224000. Its totient is φ = 56010528.

The previous prime is 106767971. The next prime is 106768019. The reversal of 106768011 is 110867601.

It is a happy number.

It is not a de Polignac number, because 106768011 - 2¹³ = 106759819 is a prime.

It is a super-2 number, since 2×106768011² = 22798816345792242, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 106768011.

It is not an unprimeable number, because it can be changed into a prime (106768019) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 840630 + ... + 840756.

It is an arithmetic number, because the mean of its divisors is an integer number (2816000).

Almost surely, 2^106768011 is an apocalyptic number.

106768011 is a deficient number, since it is larger than the sum of its proper divisors (73455989).

106768011 is a wasteful number, since it uses less digits than its factorization.

106768011 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 213 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 30.

The square root of 106768011 is about 10332.8607365047. The cubic root of 106768011 is about 474.4025892984.

The spelling of 106768011 in words is "one hundred six million, seven hundred sixty-eight thousand, eleven".