10729096780900 has 27 divisors (see below), whose sum is σ = 23282211093771. Its totient is φ = 4291625610240.

The previous prime is 10729096780889. The next prime is 10729096780933. The reversal of 10729096780900 is 908769092701.

It is a happy number.

The square root of 10729096780900 is 3275530.

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 6220405117476 + 4508691663424 = 2494074^2 + 2123368^2 .

It is a super-2 number, since 2×10729096780900² (a number of 27 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, 32591524 + ... + 32919076.

Almost surely, 2^{10729096780900} is an apocalyptic number.

10729096780900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10729096780900 is the 3275530-th square number.

It is an amenable number.

10729096780900 is an abundant number, since it is smaller than the sum of its proper divisors (12553114312871).

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

10729096780900 is an frugal number, since it uses more digits than its factorization.

10729096780900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 655120 (or 327560 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 58.

The spelling of 10729096780900 in words is "ten trillion, seven hundred twenty-nine billion, ninety-six million, seven hundred eighty thousand, nine hundred".