102880449 has 75 divisors (see below), whose sum is σ = 187423313. Its totient is φ = 56232792.

The previous prime is 102880411. The next prime is 102880489. The reversal of 102880449 is 944088201.

The square root of 102880449 is 10143.

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

It is not a de Polignac number, because 102880449 - 2¹¹ = 102878401 is a prime.

It is not an unprimeable number, because it can be changed into a prime (102880489) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 4473052 + ... + 4473074.

Almost surely, 2^102880449 is an apocalyptic number.

102880449 is the 10143-rd square number.

102880449 is the 5072-nd centered octagonal number.

It is an amenable number.

102880449 is a deficient number, since it is larger than the sum of its proper divisors (84542864).

102880449 is an frugal number, since it uses more digits than its factorization.

102880449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86 (or 33 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The cubic root of 102880449 is about 468.5733849836.

Multiplying 102880449 by its sum of digits (36), we get a square (3703696164 = 60858²).

The spelling of 102880449 in words is "one hundred two million, eight hundred eighty thousand, four hundred forty-nine".