106555600500006 has 256 divisors, whose sum is σ = 257158101860352. Its totient is φ = 28804499942400.

The previous prime is 106555600499989. The next prime is 106555600500043. The reversal of 106555600500006 is 600005006555601.

It is a super-2 number, since 2×106555600500006² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3141084961 + ... + 3141118883.

It is an arithmetic number, because the mean of its divisors is an integer number (1004523835392).

Almost surely, 2^{106555600500006} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106555600500006, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128579050930176).

106555600500006 is an abundant number, since it is smaller than the sum of its proper divisors (150602501360346).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

106555600500006 is a wasteful number, since it uses less digits than its factorization.

106555600500006 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34427.

The product of its (nonzero) digits is 135000, while the sum is 39.

The spelling of 106555600500006 in words is "one hundred six trillion, five hundred fifty-five billion, six hundred million, five hundred thousand, six".