102359400 has 192 divisors, whose sum is σ = 373101120. Its totient is φ = 22886400.

The previous prime is 102359381. The next prime is 102359401. The reversal of 102359400 is 4953201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (102359401) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 85204 + ... + 86396.

It is an arithmetic number, because the mean of its divisors is an integer number (1943235).

Almost surely, 2^102359400 is an apocalyptic number.

102359400 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 102359400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186550560).

102359400 is an abundant number, since it is smaller than the sum of its proper divisors (270741720).

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

102359400 is a wasteful number, since it uses less digits than its factorization.

102359400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1236 (or 1227 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 102359400 is about 10117.2822437649. The cubic root of 102359400 is about 467.7809991489.

The spelling of 102359400 in words is "one hundred two million, three hundred fifty-nine thousand, four hundred".