106011006105 has 32 divisors (see below), whose sum is σ = 174288660480. Its totient is φ = 54993193920.

The previous prime is 106011006097. The next prime is 106011006109. The reversal of 106011006105 is 501600110601.

It is not a de Polignac number, because 106011006105 - 2³ = 106011006097 is a prime.

It is a super-2 number, since 2×106011006105² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106011006109) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 189691 + ... + 498000.

It is an arithmetic number, because the mean of its divisors is an integer number (5446520640).

Almost surely, 2^106011006105 is an apocalyptic number.

106011006105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106011006105 is a deficient number, since it is larger than the sum of its proper divisors (68277654375).

106011006105 is a wasteful number, since it uses less digits than its factorization.

106011006105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687981.

The product of its (nonzero) digits is 180, while the sum is 21.

Adding to 106011006105 its reverse (501600110601), we get a palindrome (607611116706).

The spelling of 106011006105 in words is "one hundred six billion, eleven million, six thousand, one hundred five".