106306464672 has 144 divisors (see below), whose sum is σ = 318367445760. Its totient is φ = 33554912256.

The previous prime is 106306464647. The next prime is 106306464673. The reversal of 106306464672 is 276464603601.

It is a happy number.

106306464672 is a `hidden beast` number, since 1 + 0 + 630 + 6 + 4 + 6 + 4 + 6 + 7 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×106306464672² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106306464673) 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, 19658193 + ... + 19663599.

It is an arithmetic number, because the mean of its divisors is an integer number (2210885040).

Almost surely, 2^106306464672 is an apocalyptic number.

106306464672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106306464672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159183722880).

106306464672 is an abundant number, since it is smaller than the sum of its proper divisors (212060981088).

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

106306464672 is a wasteful number, since it uses less digits than its factorization.

106306464672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9035 (or 9024 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 106306464672 in words is "one hundred six billion, three hundred six million, four hundred sixty-four thousand, six hundred seventy-two".