10606516105600 has 96 divisors (see below), whose sum is σ = 26234708315400. Its totient is φ = 4237214576640.

The previous prime is 10606516105589. The next prime is 10606516105607. The reversal of 10606516105600 is 650161560601.

It is a super-2 number, since 2×10606516105600² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10606516105600.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10606516105607) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 412596 + ... + 4624204.

Almost surely, 2^{10606516105600} is an apocalyptic number.

10606516105600 is a gapful number since it is divisible by the number (10) 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 10606516105600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13117354157700).

10606516105600 is an abundant number, since it is smaller than the sum of its proper divisors (15628192209800).

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

10606516105600 is an equidigital number, since it uses as much as digits as its factorization.

10606516105600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4212420 (or 4212403 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 37.

The spelling of 10606516105600 in words is "ten trillion, six hundred six billion, five hundred sixteen million, one hundred five thousand, six hundred".