102730400 has 36 divisors (see below), whose sum is σ = 250792542. Its totient is φ = 41091840.

The previous prime is 102730393. The next prime is 102730403. The reversal of 102730400 is 4037201.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 83685904 + 19044496 = 9148^2 + 4364^2 .

It is not an unprimeable number, because it can be changed into a prime (102730403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 63407 + ... + 65006.

Almost surely, 2^102730400 is an apocalyptic number.

102730400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102730400 is an abundant number, since it is smaller than the sum of its proper divisors (148062142).

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

102730400 is a wasteful number, since it uses less digits than its factorization.

102730400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128433 (or 128420 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 17.

The square root of 102730400 is about 10135.6006235447. The cubic root of 102730400 is about 468.3454726263.

Adding to 102730400 its reverse (4037201), we get a palindrome (106767601).

The spelling of 102730400 in words is "one hundred two million, seven hundred thirty thousand, four hundred".