106768847610 has 96 divisors (see below), whose sum is σ = 286382154240. Its totient is φ = 27577770624.

The previous prime is 106768847557. The next prime is 106768847617. The reversal of 106768847610 is 16748867601.

106768847610 is a `hidden beast` number, since 10 + 6 + 7 + 6 + 8 + 8 + 4 + 7 + 610 = 666.

It is a super-2 number, since 2×106768847610² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106768847617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 670701 + ... + 814479.

It is an arithmetic number, because the mean of its divisors is an integer number (2983147440).

Almost surely, 2^106768847610 is an apocalyptic number.

106768847610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106768847610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143191077120).

106768847610 is an abundant number, since it is smaller than the sum of its proper divisors (179613306630).

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

106768847610 is a wasteful number, since it uses less digits than its factorization.

106768847610 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144052 (or 144049 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 106768847610 in words is "one hundred six billion, seven hundred sixty-eight million, eight hundred forty-seven thousand, six hundred ten".