102605016261 has 48 divisors (see below), whose sum is σ = 155679713280. Its totient is φ = 59994211200.

The previous prime is 102605016257. The next prime is 102605016271. The reversal of 102605016261 is 162610506201.

It is not a de Polignac number, because 102605016261 - 2² = 102605016257 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102605016271) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17503471 + ... + 17509331.

It is an arithmetic number, because the mean of its divisors is an integer number (3243327360).

Almost surely, 2^102605016261 is an apocalyptic number.

102605016261 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

102605016261 is a deficient number, since it is larger than the sum of its proper divisors (53074697019).

102605016261 is a wasteful number, since it uses less digits than its factorization.

102605016261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7578 (or 7567 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The spelling of 102605016261 in words is "one hundred two billion, six hundred five million, sixteen thousand, two hundred sixty-one".