106111101100050 has 72 divisors (see below), whose sum is σ = 285103537670016. Its totient is φ = 28294469370720.

The previous prime is 106111101100027. The next prime is 106111101100051. The reversal of 106111101100050 is 50001101111601.

It is a happy number.

106111101100050 is a `hidden beast` number, since 1 + 0 + 611 + 1 + 1 + 0 + 1 + 1 + 0 + 0 + 0 + 50 = 666.

It is a super-2 number, since 2×106111101100050² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 106111101099996 and 106111101100032.

It is not an unprimeable number, because it can be changed into a prime (106111101100051) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 606154 + ... + 14580453.

It is an arithmetic number, because the mean of its divisors is an integer number (3959771356528).

Almost surely, 2^{106111101100050} is an apocalyptic number.

106111101100050 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

106111101100050 is an abundant number, since it is smaller than the sum of its proper divisors (178992436569966).

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

106111101100050 is a wasteful number, since it uses less digits than its factorization.

106111101100050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15202152 (or 15202144 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 18.

Adding to 106111101100050 its reverse (50001101111601), we get a palindrome (156112202211651).

The spelling of 106111101100050 in words is "one hundred six trillion, one hundred eleven billion, one hundred one million, one hundred thousand, fifty".