106105605000555 has 64 divisors (see below), whose sum is σ = 181756675008000. Its totient is φ = 52702467535872.

The previous prime is 106105605000529. The next prime is 106105605000569. The reversal of 106105605000555 is 555000506501601.

It is not a de Polignac number, because 106105605000555 - 2⁸ = 106105605000299 is a prime.

It is a super-2 number, since 2×106105605000555² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 7701885 + ... + 16478174.

It is an arithmetic number, because the mean of its divisors is an integer number (2839948047000).

Almost surely, 2^{106105605000555} is an apocalyptic number.

106105605000555 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

106105605000555 is a deficient number, since it is larger than the sum of its proper divisors (75651070007445).

106105605000555 is a wasteful number, since it uses less digits than its factorization.

106105605000555 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24180348.

The product of its (nonzero) digits is 112500, while the sum is 39.

The spelling of 106105605000555 in words is "one hundred six trillion, one hundred five billion, six hundred five million, five hundred fifty-five", and thus it is an aban number.