102320400 has 240 divisors, whose sum is σ = 403835264. Its totient is φ = 21565440.

The previous prime is 102320389. The next prime is 102320411. The reversal of 102320400 is 4023201.

It is an interprime number because it is at equal distance from previous prime (102320389) and next prime (102320411).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 108732 + ... + 109668.

Almost surely, 2^102320400 is an apocalyptic number.

102320400 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 102320400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201917632).

102320400 is an abundant number, since it is smaller than the sum of its proper divisors (301514864).

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

102320400 is a wasteful number, since it uses less digits than its factorization.

102320400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 978 (or 967 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 102320400 is about 10115.3546650624. The cubic root of 102320400 is about 467.7215817873.

Adding to 102320400 its reverse (4023201), we get a palindrome (106343601).

The spelling of 102320400 in words is "one hundred two million, three hundred twenty thousand, four hundred".