102148200 has 432 divisors, whose sum is σ = 437367840. Its totient is φ = 20908800.

The previous prime is 102148171. The next prime is 102148201. The reversal of 102148200 is 2841201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (102148201) 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 107 ways as a sum of consecutive naturals, for example, 1524567 + ... + 1524633.

Almost surely, 2^102148200 is an apocalyptic number.

102148200 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 102148200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218683920).

102148200 is an abundant number, since it is smaller than the sum of its proper divisors (335219640).

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

102148200 is a wasteful number, since it uses less digits than its factorization.

102148200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 95 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The square root of 102148200 is about 10106.8392685349. The cubic root of 102148200 is about 467.4590506232.

Adding to 102148200 its reverse (2841201), we get a palindrome (104989401).

The spelling of 102148200 in words is "one hundred two million, one hundred forty-eight thousand, two hundred".