106004464512 has 64 divisors (see below), whose sum is σ = 298137574800. Its totient is φ = 33256300544.

The previous prime is 106004464487. The next prime is 106004464513. The reversal of 106004464512 is 215464400601.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×106004464512² (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 (106004464513) 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 7 ways as a sum of consecutive naturals, for example, 8112687 + ... + 8125742.

Almost surely, 2^106004464512 is an apocalyptic number.

106004464512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106004464512 is an abundant number, since it is smaller than the sum of its proper divisors (192133110288).

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

106004464512 is a wasteful number, since it uses less digits than its factorization.

106004464512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16238463 (or 16238451 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 33.

The spelling of 106004464512 in words is "one hundred six billion, four million, four hundred sixty-four thousand, five hundred twelve".