102135400 has 24 divisors (see below), whose sum is σ = 237465270. Its totient is φ = 40854080.

The previous prime is 102135391. The next prime is 102135409. The reversal of 102135400 is 4531201.

It is an interprime number because it is at equal distance from previous prime (102135391) and next prime (102135409).

It can be written as a sum of positive squares in 3 ways, for example, as 54552996 + 47582404 = 7386^2 + 6898^2 .

It is not an unprimeable number, because it can be changed into a prime (102135409) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 255139 + ... + 255538.

Almost surely, 2^102135400 is an apocalyptic number.

102135400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102135400 is an abundant number, since it is smaller than the sum of its proper divisors (135329870).

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

102135400 is a wasteful number, since it uses less digits than its factorization.

102135400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 510693 (or 510684 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 102135400 is about 10106.2060141282. The cubic root of 102135400 is about 467.4395243343.

Adding to 102135400 its reverse (4531201), we get a palindrome (106666601).

The spelling of 102135400 in words is "one hundred two million, one hundred thirty-five thousand, four hundred".