106803974772 has 72 divisors (see below), whose sum is σ = 295340834880. Its totient is φ = 32274645120.

The previous prime is 106803974759. The next prime is 106803974773. The reversal of 106803974772 is 277479308601.

106803974772 is a `hidden beast` number, since 1 + 0 + 6 + 80 + 3 + 97 + 477 + 2 = 666.

It is a super-2 number, since 2×106803974772² (a number of 23 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106803974773) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 233473 + ... + 517800.

It is an arithmetic number, because the mean of its divisors is an integer number (4101956040).

Almost surely, 2^106803974772 is an apocalyptic number.

106803974772 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106803974772 is an abundant number, since it is smaller than the sum of its proper divisors (188536860108).

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

106803974772 is a wasteful number, since it uses less digits than its factorization.

106803974772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751653 (or 751648 counting only the distinct ones).

The product of its (nonzero) digits is 3556224, while the sum is 54.

The spelling of 106803974772 in words is "one hundred six billion, eight hundred three million, nine hundred seventy-four thousand, seven hundred seventy-two".