106006616592 has 40 divisors (see below), whose sum is σ = 273920578080. Its totient is φ = 35326487040.

The previous prime is 106006616591. The next prime is 106006616621. The reversal of 106006616592 is 295616600601.

It is a super-2 number, since 2×106006616592² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106006616591) by changing a digit.

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, 92217 + ... + 469592.

It is an arithmetic number, because the mean of its divisors is an integer number (6848014452).

Almost surely, 2^106006616592 is an apocalyptic number.

106006616592 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106006616592 is an abundant number, since it is smaller than the sum of its proper divisors (167913961488).

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

106006616592 is a wasteful number, since it uses less digits than its factorization.

106006616592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 565751 (or 565745 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 42.

The spelling of 106006616592 in words is "one hundred six billion, six million, six hundred sixteen thousand, five hundred ninety-two".