10605506016 has 192 divisors, whose sum is σ = 33024499200. Its totient is φ = 2915813376.

The previous prime is 10605506003. The next prime is 10605506017. The reversal of 10605506016 is 61060550601.

It is a super-2 number, since 2×10605506016² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10605506017) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7268295 + ... + 7269753.

It is an arithmetic number, because the mean of its divisors is an integer number (172002600).

Almost surely, 2^10605506016 is an apocalyptic number.

10605506016 is a gapful number since it is divisible by the number (16) 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 10605506016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16512249600).

10605506016 is an abundant number, since it is smaller than the sum of its proper divisors (22418993184).

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

10605506016 is a wasteful number, since it uses less digits than its factorization.

10605506016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1881 (or 1873 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The spelling of 10605506016 in words is "ten billion, six hundred five million, five hundred six thousand, sixteen".