102615312252 has 96 divisors (see below), whose sum is σ = 257578030080. Its totient is φ = 31693455360.

The previous prime is 102615312227. The next prime is 102615312301. The reversal of 102615312252 is 252213516201.

It is a super-2 number, since 2×102615312252² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22897852 + ... + 22902332.

It is an arithmetic number, because the mean of its divisors is an integer number (2683104480).

Almost surely, 2^102615312252 is an apocalyptic number.

102615312252 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 102615312252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128789015040).

102615312252 is an abundant number, since it is smaller than the sum of its proper divisors (154962717828).

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

102615312252 is a wasteful number, since it uses less digits than its factorization.

102615312252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6691 (or 6689 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 102615312252 its reverse (252213516201), we get a palindrome (354828828453).

The spelling of 102615312252 in words is "one hundred two billion, six hundred fifteen million, three hundred twelve thousand, two hundred fifty-two".