102130400 has 36 divisors (see below), whose sum is σ = 249327792. Its totient is φ = 40851840.

The previous prime is 102130393. The next prime is 102130403. The reversal of 102130400 is 4031201.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102130403) 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 5 ways as a sum of consecutive naturals, for example, 63032 + ... + 64631.

It is an arithmetic number, because the mean of its divisors is an integer number (6925772).

Almost surely, 2^102130400 is an apocalyptic number.

102130400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102130400 is an abundant number, since it is smaller than the sum of its proper divisors (147197392).

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

102130400 is a wasteful number, since it uses less digits than its factorization.

102130400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127683 (or 127670 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 102130400 is about 10105.9586383480. The cubic root of 102130400 is about 467.4318964346.

Adding to 102130400 its reverse (4031201), we get a palindrome (106161601).

The spelling of 102130400 in words is "one hundred two million, one hundred thirty thousand, four hundred".