106044648768 has 112 divisors (see below), whose sum is σ = 319355541120. Its totient is φ = 34486041600.

The previous prime is 106044648763. The next prime is 106044648779. The reversal of 106044648768 is 867846440601.

106044648768 is a `hidden beast` number, since 1 + 0 + 60 + 4 + 46 + 487 + 68 = 666.

It is a super-2 number, since 2×106044648768² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106044648763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 677548 + ... + 819243.

It is an arithmetic number, because the mean of its divisors is an integer number (2851388760).

Almost surely, 2^106044648768 is an apocalyptic number.

106044648768 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

106044648768 is an abundant number, since it is smaller than the sum of its proper divisors (213310892352).

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

106044648768 is a wasteful number, since it uses less digits than its factorization.

106044648768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1496853 (or 1496837 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 106044648768 in words is "one hundred six billion, forty-four million, six hundred forty-eight thousand, seven hundred sixty-eight".