10508813392900 has 81 divisors (see below), whose sum is σ = 24225721615389. Its totient is φ = 3956051688960.

The previous prime is 10508813392843. The next prime is 10508813392907. The reversal of 10508813392900 is 929331880501.

The square root of 10508813392900 is 3241730.

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

It can be written as a sum of positive squares in 13 ways, for example, as 68987123716 + 10439826269184 = 262654^2 + 3231072^2 .

It is a super-2 number, since 2×10508813392900² (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 (10508813392907) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 551084566 + ... + 551103634.

Almost surely, 2^{10508813392900} is an apocalyptic number.

10508813392900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10508813392900 is the 3241730-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10508813392900

10508813392900 is an abundant number, since it is smaller than the sum of its proper divisors (13716908222489).

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

10508813392900 is an frugal number, since it uses more digits than its factorization.

10508813392900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38186 (or 19093 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 49.

Multiplying 10508813392900 by its sum of digits (49), we get a square (514931856252100 = 22692110²).

The spelling of 10508813392900 in words is "ten trillion, five hundred eight billion, eight hundred thirteen million, three hundred ninety-two thousand, nine hundred".