106211786112 has 256 divisors, whose sum is σ = 329304960000. Its totient is φ = 33636556800.

The previous prime is 106211786069. The next prime is 106211786123. The reversal of 106211786112 is 211687112601.

106211786112 is a `hidden beast` number, since 1 + 0 + 6 + 21 + 17 + 8 + 611 + 2 = 666.

It is a super-2 number, since 2×106211786112² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 11998264 + ... + 12007112.

It is an arithmetic number, because the mean of its divisors is an integer number (1286347500).

Almost surely, 2^106211786112 is an apocalyptic number.

106211786112 is a gapful number since it is divisible by the number (12) 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 106211786112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164652480000).

106211786112 is an abundant number, since it is smaller than the sum of its proper divisors (223093173888).

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

106211786112 is a wasteful number, since it uses less digits than its factorization.

106211786112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9046 (or 9028 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 36.

Adding to 106211786112 its reverse (211687112601), we get a palindrome (317898898713).

The spelling of 106211786112 in words is "one hundred six billion, two hundred eleven million, seven hundred eighty-six thousand, one hundred twelve".