10655166100 has 72 divisors (see below), whose sum is σ = 23837958648. Its totient is φ = 4131379200.

The previous prime is 10655166097. The next prime is 10655166107. The reversal of 10655166100 is 166155601.

It can be written as a sum of positive squares in 12 ways, for example, as 3716609296 + 6938556804 = 60964^2 + 83298^2 .

It is a super-2 number, since 2×10655166100² (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 (10655166107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 635424 + ... + 651976.

It is an arithmetic number, because the mean of its divisors is an integer number (331082759).

Almost surely, 2^10655166100 is an apocalyptic number.

10655166100 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 10655166100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11918979324).

10655166100 is an abundant number, since it is smaller than the sum of its proper divisors (13182792548).

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

10655166100 is a wasteful number, since it uses less digits than its factorization.

10655166100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16765 (or 16758 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 31.

The spelling of 10655166100 in words is "ten billion, six hundred fifty-five million, one hundred sixty-six thousand, one hundred".