102410880289 has 9 divisors (see below), whose sum is σ = 108091030833. Its totient is φ = 97015073652.

The previous prime is 102410880277. The next prime is 102410880301. The reversal of 102410880289 is 982088014201.

The square root of 102410880289 is 320017.

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

It is an interprime number because it is at equal distance from previous prime (102410880277) and next prime (102410880301).

It is not a de Polignac number, because 102410880289 - 2⁷ = 102410880161 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102410880239) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6071902 + ... + 6088744.

It is an arithmetic number, because the mean of its divisors is an integer number (12010114537).

Almost surely, 2^102410880289 is an apocalyptic number.

102410880289 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

102410880289 is the 320017-th square number.

102410880289 is the 160009-th centered octagonal number.

It is an amenable number.

102410880289 is a deficient number, since it is larger than the sum of its proper divisors (5680150544).

102410880289 is an frugal number, since it uses more digits than its factorization.

102410880289 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33724 (or 16862 counting only the distinct ones).

The product of its (nonzero) digits is 73728, while the sum is 43.

The spelling of 102410880289 in words is "one hundred two billion, four hundred ten million, eight hundred eighty thousand, two hundred eighty-nine".