109200507025 has 81 divisors (see below), whose sum is σ = 146336212659. Its totient is φ = 80831936640.

The previous prime is 109200507023. The next prime is 109200507079. The reversal of 109200507025 is 520705002901.

The square root of 109200507025 is 330455.

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 42547725441 + 66652781584 = 206271^2 + 258172^2 .

It is not a de Polignac number, because 109200507025 - 2¹ = 109200507023 is a prime.

It is a hoax number, since the sum of its digits (31) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (109200507023) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2060386899 + ... + 2060386951.

Almost surely, 2^109200507025 is an apocalyptic number.

109200507025 is the 330455-th square number.

109200507025 is the 165228-th centered octagonal number.

It is an amenable number.

109200507025 is a deficient number, since it is larger than the sum of its proper divisors (37135705634).

109200507025 is an frugal number, since it uses more digits than its factorization.

109200507025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 31.

Adding to 109200507025 its reverse (520705002901), we get a palindrome (629905509926).

It can be divided in two parts, 109200 and 507025, that added together give a square (616225 = 785²).

The spelling of 109200507025 in words is "one hundred nine billion, two hundred million, five hundred seven thousand, twenty-five".