106005426552 has 48 divisors (see below), whose sum is σ = 289163511000. Its totient is φ = 35080929216.

The previous prime is 106005426551. The next prime is 106005426581. The reversal of 106005426552 is 255624500601.

106005426552 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 0 + 542 + 65 + 52 = 666.

It is a super-2 number, since 2×106005426552² (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 not an unprimeable number, because it can be changed into a prime (106005426551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5286027 + ... + 5306042.

Almost surely, 2^106005426552 is an apocalyptic number.

106005426552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106005426552 is an abundant number, since it is smaller than the sum of its proper divisors (183158084448).

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

106005426552 is a wasteful number, since it uses less digits than its factorization.

106005426552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10592220 (or 10592213 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 106005426552 in words is "one hundred six billion, five million, four hundred twenty-six thousand, five hundred fifty-two".