102225302532 has 120 divisors (see below), whose sum is σ = 269260703712. Its totient is φ = 33818083200.

The previous prime is 102225302477. The next prime is 102225302563. The reversal of 102225302532 is 235203522201.

102225302532 is a `hidden beast` number, since 102 + 2 + 2 + 530 + 25 + 3 + 2 = 666.

It is a super-2 number, since 2×102225302532² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 102225302496 and 102225302505.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 24985807 + ... + 24989897.

Almost surely, 2^102225302532 is an apocalyptic number.

102225302532 is a gapful number since it is divisible by the number (12) 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 102225302532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134630351856).

102225302532 is an abundant number, since it is smaller than the sum of its proper divisors (167035401180).

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

102225302532 is a wasteful number, since it uses less digits than its factorization.

102225302532 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4671 (or 4660 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 102225302532 its reverse (235203522201), we get a palindrome (337428824733).

The spelling of 102225302532 in words is "one hundred two billion, two hundred twenty-five million, three hundred two thousand, five hundred thirty-two".