10788976900 has 243 divisors, whose sum is σ = 27515712189. Its totient is φ = 3669519360.

The previous prime is 10788976897. The next prime is 10788976943. The reversal of 10788976900 is 967988701.

The square root of 10788976900 is 103870.

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 7857404164 + 2931572736 = 88642^2 + 54144^2 .

It is a super-2 number, since 2×10788976900² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 229552677 + ... + 229552723.

Almost surely, 2^10788976900 is an apocalyptic number.

10788976900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10788976900 is the 103870-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10788976900

10788976900 is an abundant number, since it is smaller than the sum of its proper divisors (16726735289).

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

10788976900 is a wasteful number, since it uses less digits than its factorization.

10788976900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 84 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 55.

The spelling of 10788976900 in words is "ten billion, seven hundred eighty-eight million, nine hundred seventy-six thousand, nine hundred".