102051252 has 84 divisors (see below), whose sum is σ = 271763520. Its totient is φ = 33510672.

The previous prime is 102051247. The next prime is 102051311. The reversal of 102051252 is 252150201.

102051252 is a `hidden beast` number, since 102 + 0 + 512 + 52 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 230143 + ... + 230585.

It is an arithmetic number, because the mean of its divisors is an integer number (3235280).

Almost surely, 2^102051252 is an apocalyptic number.

102051252 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 102051252, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135881760).

102051252 is an abundant number, since it is smaller than the sum of its proper divisors (169712268).

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

102051252 is an equidigital number, since it uses as much as digits as its factorization.

102051252 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 102051252 is about 10102.0419717996. The cubic root of 102051252 is about 467.3111166574.

The spelling of 102051252 in words is "one hundred two million, fifty-one thousand, two hundred fifty-two".