102252066 has 64 divisors (see below), whose sum is σ = 245846016. Its totient is φ = 27720000.

The previous prime is 102252047. The next prime is 102252067. The reversal of 102252066 is 660252201.

It is not an unprimeable number, because it can be changed into a prime (102252067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 145516 + ... + 146216.

It is an arithmetic number, because the mean of its divisors is an integer number (3841344).

Almost surely, 2^102252066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102252066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122923008).

102252066 is an abundant number, since it is smaller than the sum of its proper divisors (143593950).

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

102252066 is a wasteful number, since it uses less digits than its factorization.

102252066 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 887.

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 102252066 is about 10111.9763646876. The cubic root of 102252066 is about 467.6174370151.

The spelling of 102252066 in words is "one hundred two million, two hundred fifty-two thousand, sixty-six".