10653630720100 has 81 divisors (see below), whose sum is σ = 23890458413451. Its totient is φ = 4123594406400.

The previous prime is 10653630720071. The next prime is 10653630720121. The reversal of 10653630720100 is 102703635601.

The square root of 10653630720100 is 3263990.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 385400089636 + 10268230630464 = 620806^2 + 3204408^2 .

It is a super-2 number, since 2×10653630720100² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1011831636 + ... + 1011842164.

Almost surely, 2^{10653630720100} is an apocalyptic number.

10653630720100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10653630720100 is the 3263990-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10653630720100

10653630720100 is an abundant number, since it is smaller than the sum of its proper divisors (13236827693351).

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

10653630720100 is an frugal number, since it uses more digits than its factorization.

10653630720100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21134 (or 10567 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 34.

The spelling of 10653630720100 in words is "ten trillion, six hundred fifty-three billion, six hundred thirty million, seven hundred twenty thousand, one hundred".