106005506504 has 16 divisors (see below), whose sum is σ = 199950508800. Its totient is φ = 52685370832.

The previous prime is 106005506501. The next prime is 106005506507. The reversal of 106005506504 is 405605500601.

It is an interprime number because it is at equal distance from previous prime (106005506501) and next prime (106005506507).

It is a super-2 number, since 2×106005506504² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106005506501) 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 3 ways as a sum of consecutive naturals, for example, 39671384 + ... + 39674055.

It is an arithmetic number, because the mean of its divisors is an integer number (12496906800).

Almost surely, 2^106005506504 is an apocalyptic number.

It is an amenable number.

106005506504 is a deficient number, since it is larger than the sum of its proper divisors (93945002296).

106005506504 is a wasteful number, since it uses less digits than its factorization.

106005506504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79345612 (or 79345608 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 32.

The spelling of 106005506504 in words is "one hundred six billion, five million, five hundred six thousand, five hundred four".