106010000511 has 64 divisors (see below), whose sum is σ = 161858995200. Its totient is φ = 61313939456.

The previous prime is 106010000497. The next prime is 106010000563. The reversal of 106010000511 is 115000010601.

It is a cyclic number.

It is not a de Polignac number, because 106010000511 - 2¹¹ = 106009998463 is a prime.

It is a super-2 number, since 2×106010000511² (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 (106010000011) 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, 19965325 + ... + 19970633.

It is an arithmetic number, because the mean of its divisors is an integer number (2529046800).

Almost surely, 2^106010000511 is an apocalyptic number.

106010000511 is a deficient number, since it is larger than the sum of its proper divisors (55848994689).

106010000511 is a wasteful number, since it uses less digits than its factorization.

106010000511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5968.

The product of its (nonzero) digits is 30, while the sum is 15.

The spelling of 106010000511 in words is "one hundred six billion, ten million, five hundred eleven", and thus it is an aban number.