102312252 has 72 divisors (see below), whose sum is σ = 303584736. Its totient is φ = 28439424.

The previous prime is 102312251. The next prime is 102312253. The reversal of 102312252 is 252213201.

102312252 is a `hidden beast` number, since 102 + 312 + 252 = 666.

It is an interprime number because it is at equal distance from previous prime (102312251) and next prime (102312253).

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 (102312251) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3838 + ... + 14810.

Almost surely, 2^102312252 is an apocalyptic number.

102312252 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 102312252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151792368).

102312252 is an abundant number, since it is smaller than the sum of its proper divisors (201272484).

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

102312252 is a wasteful number, since it uses less digits than its factorization.

102312252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11027 (or 11022 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 102312252 is about 10114.9519029998. The cubic root of 102312252 is about 467.7091662227.

Adding to 102312252 its reverse (252213201), we get a palindrome (354525453).

The spelling of 102312252 in words is "one hundred two million, three hundred twelve thousand, two hundred fifty-two".