106615105011 has 8 divisors (see below), whose sum is σ = 157948303760. Its totient is φ = 71076736656.

The previous prime is 106615105007. The next prime is 106615105031. The reversal of 106615105011 is 110501516601.

106615105011 is a `hidden beast` number, since 1 + 0 + 6 + 6 + 151 + 0 + 501 + 1 = 666.

It is not a de Polignac number, because 106615105011 - 2² = 106615105007 is a prime.

It is a super-2 number, since 2×106615105011² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 3948707593 = 106615105011 / (1 + 0 + 6 + 6 + 1 + 5 + 1 + 0 + 5 + 0 + 1 + 1).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106615105001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1974353770 + ... + 1974353823.

It is an arithmetic number, because the mean of its divisors is an integer number (19743537970).

Almost surely, 2^106615105011 is an apocalyptic number.

106615105011 is a deficient number, since it is larger than the sum of its proper divisors (51333198749).

106615105011 is an equidigital number, since it uses as much as digits as its factorization.

106615105011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3948707602 (or 3948707596 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 27.

The spelling of 106615105011 in words is "one hundred six billion, six hundred fifteen million, one hundred five thousand, eleven".