106217040160 has 192 divisors, whose sum is σ = 313273578240. Its totient is φ = 33062584320.

The previous prime is 106217040143. The next prime is 106217040161. The reversal of 106217040160 is 61040712601.

It is a super-2 number, since 2×106217040160² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (106217040161) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9961552 + ... + 9972208.

It is an arithmetic number, because the mean of its divisors is an integer number (1631633220).

Almost surely, 2^106217040160 is an apocalyptic number.

106217040160 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 106217040160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156636789120).

106217040160 is an abundant number, since it is smaller than the sum of its proper divisors (207056538080).

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

106217040160 is a wasteful number, since it uses less digits than its factorization.

106217040160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11499 (or 11491 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 28.

Adding to 106217040160 its reverse (61040712601), we get a palindrome (167257752761).

The spelling of 106217040160 in words is "one hundred six billion, two hundred seventeen million, forty thousand, one hundred sixty".