106005011643 has 24 divisors (see below), whose sum is σ = 155302089696.
Its totient is φ = 69662476800.
The previous prime is 106005011621. The next prime is 106005011653. The reversal of 106005011643 is 346110500601.
106005011643 is a `hidden beast` number, since 1 + 0 + 6 + 0 + 0 + 5 + 0 + 11 + 643 = 666.
It is not a de Polignac number, because 106005011643 - 26 = 106005011579 is a prime.
It is a super-2 number, since 2×1060050116432 (a number of 23 digits) contains 22 as substring.
It is not an unprimeable number, because it can be changed into a prime (106005011653) 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 23 ways as a sum of consecutive naturals, for example, 4999821 + ... + 5020977.
It is an arithmetic number, because the mean of its divisors is an integer number (6470920404).
Almost surely, 2106005011643 is an apocalyptic number.
106005011643 is a deficient number, since it is larger than the sum of its proper divisors (49297078053).
106005011643 is a wasteful number, since it uses less digits than its factorization.
106005011643 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 29075 (or 29072 counting only the distinct ones).
The product of its (nonzero) digits is 2160, while the sum is 27.
The spelling of 106005011643 in words is "one hundred six billion, five million, eleven thousand, six hundred forty-three".