102210252 has 48 divisors (see below), whose sum is σ = 251258112. Its totient is φ = 32274880.

The previous prime is 102210233. The next prime is 102210271. The reversal of 102210252 is 252012201.

It is an interprime number because it is at equal distance from previous prime (102210233) and next prime (102210271).

It is a super-2 number, since 2×102210252² = 20893871227807008, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27802 + ... + 31262.

It is an arithmetic number, because the mean of its divisors is an integer number (5234544).

Almost surely, 2^102210252 is an apocalyptic number.

102210252 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 102210252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125629056).

102210252 is an abundant number, since it is smaller than the sum of its proper divisors (149047860).

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

102210252 is a wasteful number, since it uses less digits than its factorization.

102210252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3598 (or 3596 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 102210252 is about 10109.9086049281. The cubic root of 102210252 is about 467.5536872962.

Adding to 102210252 its reverse (252012201), we get a palindrome (354222453).

The spelling of 102210252 in words is "one hundred two million, two hundred ten thousand, two hundred fifty-two".