106117071060 has 384 divisors, whose sum is σ = 401617133568. Its totient is φ = 20217600000.

The previous prime is 106117071043. The next prime is 106117071083. The reversal of 106117071060 is 60170711601.

It is a super-2 number, since 2×106117071060² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9063210 + ... + 9074910.

It is an arithmetic number, because the mean of its divisors is an integer number (1045877952).

Almost surely, 2^106117071060 is an apocalyptic number.

106117071060 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 106117071060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200808566784).

106117071060 is an abundant number, since it is smaller than the sum of its proper divisors (295500062508).

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

106117071060 is a wasteful number, since it uses less digits than its factorization.

106117071060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11895 (or 11893 counting only the distinct ones).

The product of its (nonzero) digits is 1764, while the sum is 30.

Adding to 106117071060 its reverse (60170711601), we get a palindrome (166287782661).

The spelling of 106117071060 in words is "one hundred six billion, one hundred seventeen million, seventy-one thousand, sixty".