106002206592 has 64 divisors (see below), whose sum is σ = 281897787600. Its totient is φ = 35292729344.

The previous prime is 106002206591. The next prime is 106002206641. The reversal of 106002206592 is 295602200601.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×106002206592² (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 (106002206591) 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, 168034 + ... + 490142.

Almost surely, 2^106002206592 is an apocalyptic number.

106002206592 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106002206592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140948893800).

106002206592 is an abundant number, since it is smaller than the sum of its proper divisors (175895581008).

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

106002206592 is an equidigital number, since it uses as much as digits as its factorization.

106002206592 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 322983 (or 322971 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 33.

The spelling of 106002206592 in words is "one hundred six billion, two million, two hundred six thousand, five hundred ninety-two".