102235200 has 252 divisors, whose sum is σ = 359999280. Its totient is φ = 25390080.

The previous prime is 102235193. The next prime is 102235213. The reversal of 102235200 is 2532201.

It is a super-2 number, since 2×102235200² = 20904072238080000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 102235200.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 1732771 + ... + 1732829.

Almost surely, 2^102235200 is an apocalyptic number.

102235200 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 102235200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179999640).

102235200 is an abundant number, since it is smaller than the sum of its proper divisors (257764080).

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

102235200 is a wasteful number, since it uses less digits than its factorization.

102235200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 15.

The square root of 102235200 is about 10111.1423686941. The cubic root of 102235200 is about 467.5917251650.

Adding to 102235200 its reverse (2532201), we get a palindrome (104767401).

The spelling of 102235200 in words is "one hundred two million, two hundred thirty-five thousand, two hundred".