106642203768 has 96 divisors (see below), whose sum is σ = 290511062400. Its totient is φ = 35339976000.

The previous prime is 106642203737. The next prime is 106642203791. The reversal of 106642203768 is 867302246601.

It is a super-2 number, since 2×106642203768² (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 23 ways as a sum of consecutive naturals, for example, 15963453 + ... + 15970131.

It is an arithmetic number, because the mean of its divisors is an integer number (3026156900).

Almost surely, 2^106642203768 is an apocalyptic number.

106642203768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

106642203768 is an abundant number, since it is smaller than the sum of its proper divisors (183868858632).

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

106642203768 is a wasteful number, since it uses less digits than its factorization.

106642203768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7953 (or 7946 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 106642203768 in words is "one hundred six billion, six hundred forty-two million, two hundred three thousand, seven hundred sixty-eight".