106795148868 has 120 divisors (see below), whose sum is σ = 281990016000. Its totient is φ = 35241780672.

The previous prime is 106795148851. The next prime is 106795148891. The reversal of 106795148868 is 868841597601.

106795148868 is a `hidden beast` number, since 1 + 0 + 6 + 7 + 95 + 1 + 488 + 68 = 666.

It is a super-2 number, since 2×106795148868² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 20941783 + ... + 20946881.

It is an arithmetic number, because the mean of its divisors is an integer number (2349916800).

Almost surely, 2^106795148868 is an apocalyptic number.

106795148868 is a gapful number since it is divisible by the number (18) 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 106795148868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140995008000).

106795148868 is an abundant number, since it is smaller than the sum of its proper divisors (175194867132).

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

106795148868 is a wasteful number, since it uses less digits than its factorization.

106795148868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5751 (or 5740 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 63.

The spelling of 106795148868 in words is "one hundred six billion, seven hundred ninety-five million, one hundred forty-eight thousand, eight hundred sixty-eight".