102914400 has 144 divisors (see below), whose sum is σ = 338509584. Its totient is φ = 27156480.

The previous prime is 102914377. The next prime is 102914401. The reversal of 102914400 is 4419201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102914401) 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, 328644 + ... + 328956.

It is an arithmetic number, because the mean of its divisors is an integer number (2350761).

Almost surely, 2^102914400 is an apocalyptic number.

102914400 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 102914400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169254792).

102914400 is an abundant number, since it is smaller than the sum of its proper divisors (235595184).

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

102914400 is a wasteful number, since it uses less digits than its factorization.

102914400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 473 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 102914400 is about 10144.6734792205. The cubic root of 102914400 is about 468.6249230730.

The spelling of 102914400 in words is "one hundred two million, nine hundred fourteen thousand, four hundred".