106005500605550 has 192 divisors, whose sum is σ = 243370163312640. Its totient is φ = 33452449873920.

The previous prime is 106005500605531. The next prime is 106005500605579. The reversal of 106005500605550 is 55506005500601.

It is a super-2 number, since 2×106005500605550² (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 95 ways as a sum of consecutive naturals, for example, 2993895947 + ... + 2993931353.

It is an arithmetic number, because the mean of its divisors is an integer number (1267552933920).

Almost surely, 2^{106005500605550} is an apocalyptic number.

106005500605550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106005500605550 is an abundant number, since it is smaller than the sum of its proper divisors (137364662707090).

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

106005500605550 is a wasteful number, since it uses less digits than its factorization.

106005500605550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37315 (or 37310 counting only the distinct ones).

The product of its (nonzero) digits is 112500, while the sum is 38.

The spelling of 106005500605550 in words is "one hundred six trillion, five billion, five hundred million, six hundred five thousand, five hundred fifty".