102135200 has 36 divisors (see below), whose sum is σ = 249339510. Its totient is φ = 40853760.

The previous prime is 102135193. The next prime is 102135217. The reversal of 102135200 is 2531201.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 75550864 + 26584336 = 8692^2 + 5156^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 63035 + ... + 64634.

Almost surely, 2^102135200 is an apocalyptic number.

102135200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102135200 is an abundant number, since it is smaller than the sum of its proper divisors (147204310).

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

102135200 is a wasteful number, since it uses less digits than its factorization.

102135200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 127689 (or 127676 counting only the distinct ones).

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

The square root of 102135200 is about 10106.1961192132. The cubic root of 102135200 is about 467.4392192231.

Adding to 102135200 its reverse (2531201), we get a palindrome (104666401).

The spelling of 102135200 in words is "one hundred two million, one hundred thirty-five thousand, two hundred".