102321400 has 48 divisors (see below), whose sum is σ = 241826040. Its totient is φ = 40252800.

The previous prime is 102321379. The next prime is 102321409. The reversal of 102321400 is 4123201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102321409) 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 11 ways as a sum of consecutive naturals, for example, 8007 + ... + 16393.

Almost surely, 2^102321400 is an apocalyptic number.

102321400 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 102321400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120913020).

102321400 is an abundant number, since it is smaller than the sum of its proper divisors (139504640).

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

102321400 is a wasteful number, since it uses less digits than its factorization.

102321400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8464 (or 8455 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 102321400 is about 10115.4040947458. The cubic root of 102321400 is about 467.7231054980.

Adding to 102321400 its reverse (4123201), we get a palindrome (106444601).

The spelling of 102321400 in words is "one hundred two million, three hundred twenty-one thousand, four hundred".