106000510556060 has 96 divisors (see below), whose sum is σ = 233289351106560. Its totient is φ = 40409772480000.

The previous prime is 106000510556033. The next prime is 106000510556063. The reversal of 106000510556060 is 60655015000601.

It is a super-2 number, since 2×106000510556060² (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106000510556060.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106000510556063) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10023497 + ... + 17676863.

It is an arithmetic number, because the mean of its divisors is an integer number (2430097407360).

Almost surely, 2^{106000510556060} is an apocalyptic number.

106000510556060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106000510556060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116644675553280).

106000510556060 is an abundant number, since it is smaller than the sum of its proper divisors (127288840550500).

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

106000510556060 is a wasteful number, since it uses less digits than its factorization.

106000510556060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7653747 (or 7653745 counting only the distinct ones).

The product of its (nonzero) digits is 27000, while the sum is 35.

Adding to 106000510556060 its reverse (60655015000601), we get a palindrome (166655525556661).

The spelling of 106000510556060 in words is "one hundred six trillion, five hundred ten million, five hundred fifty-six thousand, sixty".