106100005006050 has 96 divisors (see below), whose sum is σ = 287218298727360. Its totient is φ = 25706019974400.

The previous prime is 106100005005997. The next prime is 106100005006063. The reversal of 106100005006050 is 50600500001601.

It is a super-2 number, since 2×106100005006050² (a number of 29 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 106100005006050.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16197405 + ... + 21784304.

It is an arithmetic number, because the mean of its divisors is an integer number (2991857278410).

Almost surely, 2^{106100005006050} is an apocalyptic number.

106100005006050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106100005006050 is an abundant number, since it is smaller than the sum of its proper divisors (181118293721310).

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

106100005006050 is a wasteful number, since it uses less digits than its factorization.

106100005006050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37983428 (or 37983423 counting only the distinct ones).

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

Adding to 106100005006050 its reverse (50600500001601), we get a palindrome (156700505007651).

The spelling of 106100005006050 in words is "one hundred six trillion, one hundred billion, five million, six thousand, fifty".