102301000 has 32 divisors (see below), whose sum is σ = 239386680. Its totient is φ = 40920000.

The previous prime is 102300983. The next prime is 102301007. The reversal of 102301000 is 103201.

It can be written as a sum of positive squares in 4 ways, for example, as 17255716 + 85045284 = 4154^2 + 9222^2 .

It is not an unprimeable number, because it can be changed into a prime (102301007) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 50151 + ... + 52150.

Almost surely, 2^102301000 is an apocalyptic number.

102301000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102301000 is an abundant number, since it is smaller than the sum of its proper divisors (137085680).

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

102301000 is a wasteful number, since it uses less digits than its factorization.

102301000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102322 (or 102308 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 7.

The square root of 102301000 is about 10114.3956814038. The cubic root of 102301000 is about 467.6920198354.

Adding to 102301000 its reverse (103201), we get a palindrome (102404201).

The spelling of 102301000 in words is "one hundred two million, three hundred one thousand".