106000051050060 has 192 divisors, whose sum is σ = 311978619187200. Its totient is φ = 26853446366208.

The previous prime is 106000051050017. The next prime is 106000051050067. The reversal of 106000051050060 is 60050150000601.

It is a super-3 number, since 3×106000051050060³ (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 106000051050060.

It is not an unprimeable number, because it can be changed into a prime (106000051050067) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 100081746 + ... + 101135334.

It is an arithmetic number, because the mean of its divisors is an integer number (1624888641600).

Almost surely, 2^{106000051050060} is an apocalyptic number.

106000051050060 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 106000051050060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155989309593600).

106000051050060 is an abundant number, since it is smaller than the sum of its proper divisors (205978568137140).

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

106000051050060 is a wasteful number, since it uses less digits than its factorization.

106000051050060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1054560 (or 1054558 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

The spelling of 106000051050060 in words is "one hundred six trillion, fifty-one million, fifty thousand, sixty".