106506556566600 has 96 divisors (see below), whose sum is σ = 333574143325920. Its totient is φ = 28108946872320.

The previous prime is 106506556566587. The next prime is 106506556566611. The reversal of 106506556566600 is 6665655605601.

It is a super-2 number, since 2×106506556566600² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 914946582 + ... + 915062981.

It is an arithmetic number, because the mean of its divisors is an integer number (3474730659645).

Almost surely, 2^{106506556566600} is an apocalyptic number.

106506556566600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106506556566600 is an abundant number, since it is smaller than the sum of its proper divisors (227067586759320).

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

106506556566600 is a wasteful number, since it uses less digits than its factorization.

106506556566600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1830009679 (or 1830009670 counting only the distinct ones).

The product of its (nonzero) digits is 29160000, while the sum is 57.

The spelling of 106506556566600 in words is "one hundred six trillion, five hundred six billion, five hundred fifty-six million, five hundred sixty-six thousand, six hundred".