106768058688 has 56 divisors (see below), whose sum is σ = 313878325760. Its totient is φ = 35589352320.

The previous prime is 106768058647. The next prime is 106768058693. The reversal of 106768058688 is 886850867601.

It is a super-2 number, since 2×106768058688² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 30891808 + ... + 30895263.

Almost surely, 2^106768058688 is an apocalyptic number.

106768058688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

106768058688 is an abundant number, since it is smaller than the sum of its proper divisors (207110267072).

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

106768058688 is an equidigital number, since it uses as much as digits as its factorization.

106768058688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61787092 (or 61787076 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 63.

The spelling of 106768058688 in words is "one hundred six billion, seven hundred sixty-eight million, fifty-eight thousand, six hundred eighty-eight".