102013166025 has 81 divisors (see below), whose sum is σ = 185372003271. Its totient is φ = 53627698080.

The previous prime is 102013166023. The next prime is 102013166027. The reversal of 102013166025 is 520661310201.

The square root of 102013166025 is 319395.

It is a perfect power (a square), and thus also a powerful number.

102013166025 is a `hidden beast` number, since 1 + 0 + 20 + 1 + 31 + 6 + 602 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (102013166023) and next prime (102013166027).

It can be written as a sum of positive squares in only one way, i.e., 36724739769 + 65288426256 = 191637^2 + 255516^2 .

It is not a de Polignac number, because 102013166025 - 2¹ = 102013166023 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 102013166025.

It is not an unprimeable number, because it can be changed into a prime (102013166023) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 512628876 + ... + 512629074.

Almost surely, 2^102013166025 is an apocalyptic number.

102013166025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

102013166025 is the 319395-th square number.

102013166025 is the 159698-th centered octagonal number.

It is an amenable number.

102013166025 is a deficient number, since it is larger than the sum of its proper divisors (83358837246).

102013166025 is an equidigital number, since it uses as much as digits as its factorization.

102013166025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 628 (or 314 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 102013166025 its reverse (520661310201), we get a palindrome (622674476226).

The spelling of 102013166025 in words is "one hundred two billion, thirteen million, one hundred sixty-six thousand, twenty-five".