106211601545316 has 192 divisors, whose sum is σ = 257953112524800. Its totient is φ = 33973206220800.

The previous prime is 106211601545297. The next prime is 106211601545317. The reversal of 106211601545316 is 613545106112601.

It is a happy number.

It is a super-2 number, since 2×106211601545316² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106211601545317) 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, 91325538151 + ... + 91325539313.

It is an arithmetic number, because the mean of its divisors is an integer number (1343505794400).

Almost surely, 2^{106211601545316} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106211601545316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128976556262400).

106211601545316 is an abundant number, since it is smaller than the sum of its proper divisors (151741510979484).

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

106211601545316 is a wasteful number, since it uses less digits than its factorization.

106211601545316 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3330 (or 3328 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 42.

Adding to 106211601545316 its reverse (613545106112601), we get a palindrome (719756707657917).

The spelling of 106211601545316 in words is "one hundred six trillion, two hundred eleven billion, six hundred one million, five hundred forty-five thousand, three hundred sixteen".