102484305 has 64 divisors (see below), whose sum is σ = 227174400. Its totient is φ = 42586560.

The previous prime is 102484303. The next prime is 102484367. The reversal of 102484305 is 503484201.

It is not a de Polignac number, because 102484305 - 2¹ = 102484303 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (102484303) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5466 + ... + 15324.

It is an arithmetic number, because the mean of its divisors is an integer number (3549600).

Almost surely, 2^102484305 is an apocalyptic number.

102484305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

102484305 is an abundant number, since it is smaller than the sum of its proper divisors (124690095).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

102484305 is a wasteful number, since it uses less digits than its factorization.

102484305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9891 (or 9885 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 102484305 is about 10123.4532151830. The cubic root of 102484305 is about 467.9711931644.

The spelling of 102484305 in words is "one hundred two million, four hundred eighty-four thousand, three hundred five".