106006051060100 has 18 divisors (see below), whose sum is σ = 230033130800634. Its totient is φ = 42402420424000.

The previous prime is 106006051060099. The next prime is 106006051060127. The reversal of 106006051060100 is 1060150600601.

It can be written as a sum of positive squares in 3 ways, for example, as 27132930909184 + 78873120150916 = 5208928^2 + 8881054^2 .

It is a super-3 number, since 3×106006051060100³ (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 106006051060100.

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 5 ways as a sum of consecutive naturals, for example, 530030255201 + ... + 530030255400.

It is an arithmetic number, because the mean of its divisors is an integer number (12779618377813).

Almost surely, 2^{106006051060100} is an apocalyptic number.

106006051060100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106006051060100 is an abundant number, since it is smaller than the sum of its proper divisors (124027079740534).

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

106006051060100 is a wasteful number, since it uses less digits than its factorization.

106006051060100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1060060510615 (or 1060060510608 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 26.

The spelling of 106006051060100 in words is "one hundred six trillion, six billion, fifty-one million, sixty thousand, one hundred".