102350208 has 128 divisors (see below), whose sum is σ = 285534720. Its totient is φ = 32454656.

The previous prime is 102350203. The next prime is 102350219. The reversal of 102350208 is 802053201.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102350201) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 956491 + ... + 956597.

It is an arithmetic number, because the mean of its divisors is an integer number (2230740).

Almost surely, 2^102350208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102350208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142767360).

102350208 is an abundant number, since it is smaller than the sum of its proper divisors (183184512).

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

102350208 is a wasteful number, since it uses less digits than its factorization.

102350208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

The square root of 102350208 is about 10116.8279613721. The cubic root of 102350208 is about 467.7669962934.

The spelling of 102350208 in words is "one hundred two million, three hundred fifty thousand, two hundred eight".