102225920 has 96 divisors (see below), whose sum is σ = 250614000. Its totient is φ = 40009728.

The previous prime is 102225919. The next prime is 102225953. The reversal of 102225920 is 29522201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 686006 + ... + 686154.

Almost surely, 2^102225920 is an apocalyptic number.

102225920 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 102225920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125307000).

102225920 is an abundant number, since it is smaller than the sum of its proper divisors (148388080).

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

102225920 is an equidigital number, since it uses as much as digits as its factorization.

102225920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 243 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 102225920 is about 10110.6834585996. The cubic root of 102225920 is about 467.5775768009.

The spelling of 102225920 in words is "one hundred two million, two hundred twenty-five thousand, nine hundred twenty".