106005110500005 has 32 divisors (see below), whose sum is σ = 171315500843520. Its totient is φ = 55967134156800.

The previous prime is 106005110499997. The next prime is 106005110500007. The reversal of 106005110500005 is 500005011500601.

It is not a de Polignac number, because 106005110500005 - 2³ = 106005110499997 is a prime.

It is a super-2 number, since 2×106005110500005² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106005110500007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3538116 + ... + 14984274.

It is an arithmetic number, because the mean of its divisors is an integer number (5353609401360).

Almost surely, 2^{106005110500005} is an apocalyptic number.

106005110500005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

106005110500005 is a deficient number, since it is larger than the sum of its proper divisors (65310390343515).

106005110500005 is a wasteful number, since it uses less digits than its factorization.

106005110500005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11452381.

The product of its (nonzero) digits is 750, while the sum is 24.

The spelling of 106005110500005 in words is "one hundred six trillion, five billion, one hundred ten million, five hundred thousand, five".