102984500 has 48 divisors (see below), whose sum is σ = 228795840. Its totient is φ = 40484000.

The previous prime is 102984499. The next prime is 102984509. The reversal of 102984500 is 5489201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102984509) 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 15 ways as a sum of consecutive naturals, for example, 27755 + ... + 31245.

It is an arithmetic number, because the mean of its divisors is an integer number (4766580).

Almost surely, 2^102984500 is an apocalyptic number.

102984500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102984500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114397920).

102984500 is an abundant number, since it is smaller than the sum of its proper divisors (125811340).

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

102984500 is a wasteful number, since it uses less digits than its factorization.

102984500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3569 (or 3557 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 29.

The square root of 102984500 is about 10148.1279061707. The cubic root of 102984500 is about 468.7312999947.

The spelling of 102984500 in words is "one hundred two million, nine hundred eighty-four thousand, five hundred".