102002010 has 128 divisors (see below), whose sum is σ = 283668480. Its totient is φ = 23232000.

The previous prime is 102002003. The next prime is 102002071. The reversal of 102002010 is 10200201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a self number, because there is not a number n which added to its sum of digits gives 102002010.

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 63 ways as a sum of consecutive naturals, for example, 675435 + ... + 675585.

It is an arithmetic number, because the mean of its divisors is an integer number (2216160).

Almost surely, 2^102002010 is an apocalyptic number.

102002010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102002010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141834240).

102002010 is an abundant number, since it is smaller than the sum of its proper divisors (181666470).

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

102002010 is a wasteful number, since it uses less digits than its factorization.

102002010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284.

The product of its (nonzero) digits is 4, while the sum is 6.

The square root of 102002010 is about 10099.6044476999. The cubic root of 102002010 is about 467.2359418940.

Adding to 102002010 its reverse (10200201), we get a palindrome (112202211).

The spelling of 102002010 in words is "one hundred two million, two thousand, ten".