106005426624 has 56 divisors (see below), whose sum is σ = 311636328720. Its totient is φ = 35335141632.

The previous prime is 106005426581. The next prime is 106005426679. The reversal of 106005426624 is 426624500601.

106005426624 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 0 + 5 + 4 + 26 + 624 = 666.

It is a super-2 number, since 2×106005426624² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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, 30671139 + ... + 30674594.

Almost surely, 2^106005426624 is an apocalyptic number.

It is an amenable number.

106005426624 is an abundant number, since it is smaller than the sum of its proper divisors (205630902096).

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

106005426624 is an equidigital number, since it uses as much as digits as its factorization.

106005426624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61345754 (or 61345738 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 106005426624 in words is "one hundred six billion, five million, four hundred twenty-six thousand, six hundred twenty-four".