102285120 has 224 divisors, whose sum is σ = 383901696. Its totient is φ = 22579200.

The previous prime is 102285109. The next prime is 102285121. The reversal of 102285120 is 21582201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102285121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 208075 + ... + 208565.

Almost surely, 2^102285120 is an apocalyptic number.

102285120 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 102285120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191950848).

102285120 is an abundant number, since it is smaller than the sum of its proper divisors (281616576).

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

102285120 is a wasteful number, since it uses less digits than its factorization.

102285120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549 (or 539 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 21.

The square root of 102285120 is about 10113.6106312236. The cubic root of 102285120 is about 467.6678189198.

The spelling of 102285120 in words is "one hundred two million, two hundred eighty-five thousand, one hundred twenty".