2102681025 has 45 divisors (see below), whose sum is σ = 3898718131. Its totient is φ = 1120329360.

The previous prime is 2102681011. The next prime is 2102681059. The reversal of 2102681025 is 5201862012.

It is a happy number.

The square root of 2102681025 is 45855.

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., 756965169 + 1345715856 = 27513^2 + 36684^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is a de Polignac number, because none of the positive numbers 2^k-2102681025 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 2102681025.

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 44 ways as a sum of consecutive naturals, for example, 2062966 + ... + 2063984.

Almost surely, 2^2102681025 is an apocalyptic number.

2102681025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2102681025 is the 45855-th square number.

2102681025 is the 22928-th centered octagonal number.

It is an amenable number.

2102681025 is a deficient number, since it is larger than the sum of its proper divisors (1796037106).

2102681025 is an frugal number, since it uses more digits than its factorization.

2102681025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2060 (or 1027 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The cubic root of 2102681025 is about 1281.1238958974.

The spelling of 2102681025 in words is "two billion, one hundred two million, six hundred eighty-one thousand, twenty-five".