106215666120 has 320 divisors, whose sum is σ = 394442421120. Its totient is φ = 25498699776.

The previous prime is 106215666119. The next prime is 106215666131. The reversal of 106215666120 is 21666512601.

It is a super-2 number, since 2×106215666120² (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 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 79 ways as a sum of consecutive naturals, for example, 1224919 + ... + 1308761.

It is an arithmetic number, because the mean of its divisors is an integer number (1232632566).

Almost surely, 2^106215666120 is an apocalyptic number.

106215666120 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 106215666120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197221210560).

106215666120 is an abundant number, since it is smaller than the sum of its proper divisors (288226755000).

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

106215666120 is a wasteful number, since it uses less digits than its factorization.

106215666120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83906 (or 83893 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 106215666120 in words is "one hundred six billion, two hundred fifteen million, six hundred sixty-six thousand, one hundred twenty".