106849941660 has 288 divisors, whose sum is σ = 425355840000. Its totient is φ = 21033976320.

The previous prime is 106849941643. The next prime is 106849941691. The reversal of 106849941660 is 66149948601.

It is a happy number.

106849941660 is a `hidden beast` number, since 1 + 0 + 6 + 84 + 99 + 416 + 60 = 666.

It is a super-2 number, since 2×106849941660² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106849941597 and 106849941606.

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, 60466 + ... + 466214.

It is an arithmetic number, because the mean of its divisors is an integer number (1476930000).

Almost surely, 2^106849941660 is an apocalyptic number.

106849941660 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 106849941660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212677920000).

106849941660 is an abundant number, since it is smaller than the sum of its proper divisors (318505898340).

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

106849941660 is a wasteful number, since it uses less digits than its factorization.

106849941660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 405801 (or 405796 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The spelling of 106849941660 in words is "one hundred six billion, eight hundred forty-nine million, nine hundred forty-one thousand, six hundred sixty".