10797288100 has 27 divisors (see below), whose sum is σ = 23432370241. Its totient is φ = 4318499600.

The previous prime is 10797288077. The next prime is 10797288133. The reversal of 10797288100 is 188279701.

It is a happy number.

The square root of 10797288100 is 103910.

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

It can be written as a sum of positive squares in only one way, i.e., 3887023716 + 6910264384 = 62346^2 + 83128^2 .

It is a super-2 number, since 2×10797288100² (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1033905 + ... + 1044295.

Almost surely, 2^10797288100 is an apocalyptic number.

10797288100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10797288100 is the 103910-th square number.

It is an amenable number.

10797288100 is an abundant number, since it is smaller than the sum of its proper divisors (12635082141).

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

10797288100 is an frugal number, since it uses more digits than its factorization.

10797288100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20796 (or 10398 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 43.

The spelling of 10797288100 in words is "ten billion, seven hundred ninety-seven million, two hundred eighty-eight thousand, one hundred".