106005116504 has 32 divisors (see below), whose sum is σ = 227186856480. Its totient is φ = 45424157184.

The previous prime is 106005116501. The next prime is 106005116543. The reversal of 106005116504 is 405611500601.

It is a super-2 number, since 2×106005116504² (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 (106005116501) 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 7 ways as a sum of consecutive naturals, for example, 261074 + ... + 529310.

It is an arithmetic number, because the mean of its divisors is an integer number (7099589265).

Almost surely, 2^106005116504 is an apocalyptic number.

106005116504 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

106005116504 is an abundant number, since it is smaller than the sum of its proper divisors (121181739976).

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

106005116504 is a wasteful number, since it uses less digits than its factorization.

106005116504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275307 (or 275303 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 29.

The spelling of 106005116504 in words is "one hundred six billion, five million, one hundred sixteen thousand, five hundred four".