102734400 has 168 divisors, whose sum is σ = 357164640. Its totient is φ = 25763840.

The previous prime is 102734371. The next prime is 102734407. The reversal of 102734400 is 4437201.

It is not an unprimeable number, because it can be changed into a prime (102734407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 80971 + ... + 82229.

It is an arithmetic number, because the mean of its divisors is an integer number (2125980).

Almost surely, 2^102734400 is an apocalyptic number.

102734400 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 102734400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178582320).

102734400 is an abundant number, since it is smaller than the sum of its proper divisors (254430240).

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

102734400 is a wasteful number, since it uses less digits than its factorization.

102734400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1301 (or 1286 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 21.

The square root of 102734400 is about 10135.7979458945. The cubic root of 102734400 is about 468.3515511826.

The spelling of 102734400 in words is "one hundred two million, seven hundred thirty-four thousand, four hundred".