10570106368900 has 243 divisors, whose sum is σ = 25209165190503. Its totient is φ = 3845223782400.

The previous prime is 10570106368879. The next prime is 10570106368901. The reversal of 10570106368900 is 986360107501.

It is a happy number.

The square root of 10570106368900 is 3251170.

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

It can be written as a sum of positive squares in 40 ways, for example, as 6342509812356 + 4227596556544 = 2518434^2 + 2056112^2 .

It is a super-2 number, since 2×10570106368900² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10570106368901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 37616036760 + ... + 37616037040.

Almost surely, 2^{10570106368900} is an apocalyptic number.

10570106368900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10570106368900 is the 3251170-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10570106368900

10570106368900 is an abundant number, since it is smaller than the sum of its proper divisors (14639058821603).

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

10570106368900 is an equidigital number, since it uses as much as digits as its factorization.

10570106368900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 780 (or 390 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 46.

The spelling of 10570106368900 in words is "ten trillion, five hundred seventy billion, one hundred six million, three hundred sixty-eight thousand, nine hundred".