8102700225 has 81 divisors (see below), whose sum is σ = 15460547323. Its totient is φ = 4055715840.

The previous prime is 8102700197. The next prime is 8102700241. The reversal of 8102700225 is 5220072018.

The square root of 8102700225 is 90015.

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 3572333361 + 4530366864 = 59769^2 + 67308^2 .

It is not a de Polignac number, because 8102700225 - 2¹⁵ = 8102667457 is a prime.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is an unprimeable number.

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, 22953649 + ... + 22954001.

Almost surely, 2^8102700225 is an apocalyptic number.

8102700225 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

8102700225 is the 90015-th square number.

8102700225 is the 45008-th centered octagonal number.

It is an amenable number.

8102700225 is a deficient number, since it is larger than the sum of its proper divisors (7357847098).

8102700225 is a wasteful number, since it uses less digits than its factorization.

8102700225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 756 (or 378 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The cubic root of 8102700225 is about 2008.5219883652.

The spelling of 8102700225 in words is "eight billion, one hundred two million, seven hundred thousand, two hundred twenty-five".