102225240 has 192 divisors, whose sum is σ = 371498400. Its totient is φ = 25132032.

The previous prime is 102225239. The next prime is 102225247. The reversal of 102225240 is 42522201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102225247) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 125956 + ... + 126764.

Almost surely, 2^102225240 is an apocalyptic number.

102225240 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 102225240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185749200).

102225240 is an abundant number, since it is smaller than the sum of its proper divisors (269273160).

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

102225240 is a wasteful number, since it uses less digits than its factorization.

102225240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 848 (or 832 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 102225240 is about 10110.6498307478. The cubic root of 102225240 is about 467.5765400336.

Adding to 102225240 its reverse (42522201), we get a palindrome (144747441).

It can be divided in two parts, 1022 and 25240, that added together give a palindrome (26262).

The spelling of 102225240 in words is "one hundred two million, two hundred twenty-five thousand, two hundred forty".