106305084672 has 36 divisors (see below), whose sum is σ = 282926555520. Its totient is φ = 35435027968.

The previous prime is 106305084659. The next prime is 106305084679. The reversal of 106305084672 is 276480503601.

It is a super-2 number, since 2×106305084672² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106305084679) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 69208272 + ... + 69209807.

Almost surely, 2^106305084672 is an apocalyptic number.

106305084672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106305084672 is an abundant number, since it is smaller than the sum of its proper divisors (176621470848).

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

106305084672 is an equidigital number, since it uses as much as digits as its factorization.

106305084672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138418098 (or 138418084 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 106305084672 in words is "one hundred six billion, three hundred five million, eighty-four thousand, six hundred seventy-two".