106106101080 has 384 divisors, whose sum is σ = 375225177600. Its totient is φ = 23510200320.

The previous prime is 106106101051. The next prime is 106106101147. The reversal of 106106101080 is 80101601601.

It is a super-2 number, since 2×106106101080² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 106106101080.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 259427916 + ... + 259428324.

It is an arithmetic number, because the mean of its divisors is an integer number (977148900).

Almost surely, 2^106106101080 is an apocalyptic number.

106106101080 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 106106101080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187612588800).

106106101080 is an abundant number, since it is smaller than the sum of its proper divisors (269119076520).

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

106106101080 is a wasteful number, since it uses less digits than its factorization.

106106101080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 635 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 24.

Adding to 106106101080 its reverse (80101601601), we get a palindrome (186207702681).

The spelling of 106106101080 in words is "one hundred six billion, one hundred six million, one hundred one thousand, eighty".