102002000 has 40 divisors (see below), whose sum is σ = 246645672. Its totient is φ = 40800000.

The previous prime is 102001993. The next prime is 102002003. The reversal of 102002000 is 200201.

It can be written as a sum of positive squares in 4 ways, for example, as 234256 + 101767744 = 484^2 + 10088^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102002003) 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 7 ways as a sum of consecutive naturals, for example, 23501 + ... + 27500.

Almost surely, 2^102002000 is an apocalyptic number.

102002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102002000 is an abundant number, since it is smaller than the sum of its proper divisors (144643672).

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

102002000 is an equidigital number, since it uses as much as digits as its factorization.

102002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51024 (or 51008 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 5.

The square root of 102002000 is about 10099.6039526310. The cubic root of 102002000 is about 467.2359266252.

Adding to 102002000 its reverse (200201), we get a palindrome (102202201).

The spelling of 102002000 in words is "one hundred two million, two thousand".