102531200 has 72 divisors (see below), whose sum is σ = 254707005. Its totient is φ = 40783360.

The previous prime is 102531161. The next prime is 102531223. The reversal of 102531200 is 2135201.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

102531200 is nontrivially palindromic in base 7.

It can be written as a sum of positive squares in 2 ways, for example, as 100480576 + 2050624 = 10024^2 + 1432^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=7160.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 572711 + ... + 572889.

Almost surely, 2^102531200 is an apocalyptic number.

102531200 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 102531200

102531200 is an abundant number, since it is smaller than the sum of its proper divisors (152175805).

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

102531200 is an frugal number, since it uses more digits than its factorization.

102531200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 382 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 14.

The square root of 102531200 is about 10125.7691065914. The cubic root of 102531200 is about 468.0425607189.

Adding to 102531200 its reverse (2135201), we get a palindrome (104666401).

The spelling of 102531200 in words is "one hundred two million, five hundred thirty-one thousand, two hundred".