106706819880 has 256 divisors, whose sum is σ = 367817932800. Its totient is φ = 27488160000.

The previous prime is 106706819837. The next prime is 106706819917. The reversal of 106706819880 is 88918607601.

It is a super-2 number, since 2×106706819880² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 21123355 + ... + 21128405.

It is an arithmetic number, because the mean of its divisors is an integer number (1436788800).

Almost surely, 2^106706819880 is an apocalyptic number.

106706819880 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 106706819880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183908966400).

106706819880 is an abundant number, since it is smaller than the sum of its proper divisors (261111112920).

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

106706819880 is a wasteful number, since it uses less digits than its factorization.

106706819880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5733 (or 5723 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 54.

The spelling of 106706819880 in words is "one hundred six billion, seven hundred six million, eight hundred nineteen thousand, eight hundred eighty".