102928200 has 96 divisors (see below), whose sum is σ = 337880160. Its totient is φ = 25830400.

The previous prime is 102928193. The next prime is 102928207. The reversal of 102928200 is 2829201.

It is an interprime number because it is at equal distance from previous prime (102928193) and next prime (102928207).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (102928207) 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 23 ways as a sum of consecutive naturals, for example, 5155 + ... + 15245.

It is an arithmetic number, because the mean of its divisors is an integer number (3519585).

Almost surely, 2^102928200 is an apocalyptic number.

102928200 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 102928200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168940080).

102928200 is an abundant number, since it is smaller than the sum of its proper divisors (234951960).

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

102928200 is a wasteful number, since it uses less digits than its factorization.

102928200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10127 (or 10118 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 102928200 is about 10145.3536163113. The cubic root of 102928200 is about 468.6458684247.

The spelling of 102928200 in words is "one hundred two million, nine hundred twenty-eight thousand, two hundred".