10906209027025 has 135 divisors (see below), whose sum is σ = 15641174850609. Its totient is φ = 7539742541760.

The previous prime is 10906209026987. The next prime is 10906209027031. The reversal of 10906209027025 is 52072090260901.

The square root of 10906209027025 is 3302455.

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 2811091510161 + 8095117516864 = 1676631^2 + 2845192^2 .

It is a de Polignac number, because none of the positive numbers 2^k-10906209027025 is a prime.

It is a Duffinian number.

It is an unprimeable number.

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 134 ways as a sum of consecutive naturals, for example, 232047000552 + ... + 232047000598.

Almost surely, 2^{10906209027025} is an apocalyptic number.

10906209027025 is the 3302455-th square number.

10906209027025 is the 1651228-th centered octagonal number.

It is an amenable number.

10906209027025 is a deficient number, since it is larger than the sum of its proper divisors (4734965823584).

10906209027025 is an frugal number, since it uses more digits than its factorization.

10906209027025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 43.

Adding to 10906209027025 its reverse (52072090260901), we get a palindrome (62978299287926).

The spelling of 10906209027025 in words is "ten trillion, nine hundred six billion, two hundred nine million, twenty-seven thousand, twenty-five".