102014400 has 168 divisors, whose sum is σ = 341857584. Its totient is φ = 26624000.

The previous prime is 102014377. The next prime is 102014411. The reversal of 102014400 is 4410201.

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

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 254200 + ... + 254600.

Almost surely, 2^102014400 is an apocalyptic number.

102014400 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 102014400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170928792).

102014400 is an abundant number, since it is smaller than the sum of its proper divisors (239843184).

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

102014400 is a wasteful number, since it uses less digits than its factorization.

102014400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 479 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 102014400 is about 10100.2178194334. The cubic root of 102014400 is about 467.2548592302.

Adding to 102014400 its reverse (4410201), we get a palindrome (106424601).

The spelling of 102014400 in words is "one hundred two million, fourteen thousand, four hundred".