106754767668 has 48 divisors (see below), whose sum is σ = 276796000320. Its totient is φ = 35581788000.

The previous prime is 106754767643. The next prime is 106754767703. The reversal of 106754767668 is 866767457601.

It is a happy number.

106754767668 is a `hidden beast` number, since 10 + 6 + 7 + 547 + 6 + 76 + 6 + 8 = 666.

106754767668 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×106754767668² (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 15 ways as a sum of consecutive naturals, for example, 1412643 + ... + 1486293.

It is an arithmetic number, because the mean of its divisors is an integer number (5766583340).

Almost surely, 2^106754767668 is an apocalyptic number.

106754767668 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

106754767668 is an abundant number, since it is smaller than the sum of its proper divisors (170041232652).

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

106754767668 is a wasteful number, since it uses less digits than its factorization.

106754767668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87085 (or 87077 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 63.

The spelling of 106754767668 in words is "one hundred six billion, seven hundred fifty-four million, seven hundred sixty-seven thousand, six hundred sixty-eight".