106418967660 has 144 divisors (see below), whose sum is σ = 327258422400. Its totient is φ = 27987628032.

The previous prime is 106418967647. The next prime is 106418967673. The reversal of 106418967660 is 66769814601.

It is a happy number.

106418967660 is a `hidden beast` number, since 10 + 6 + 418 + 96 + 76 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (106418967647) and next prime (106418967673).

It is a super-2 number, since 2×106418967660² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106418967597 and 106418967606.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14344272 + ... + 14351688.

Almost surely, 2^106418967660 is an apocalyptic number.

106418967660 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 106418967660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163629211200).

106418967660 is an abundant number, since it is smaller than the sum of its proper divisors (220839454740).

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

106418967660 is a wasteful number, since it uses less digits than its factorization.

106418967660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8520 (or 8515 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 106418967660 in words is "one hundred six billion, four hundred eighteen million, nine hundred sixty-seven thousand, six hundred sixty".