102003000 has 192 divisors, whose sum is σ = 351056160. Its totient is φ = 24640000.

The previous prime is 102002987. The next prime is 102003037. The reversal of 102003000 is 300201.

It is a super-2 number, since 2×102003000² = 20809224018000000, which contains 22 as substring.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a self number, because there is not a number n which added to its sum of digits gives 102003000.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 362860 + ... + 363140.

Almost surely, 2^102003000 is an apocalyptic number.

102003000 is a gapful number since it is divisible by the number (10) 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 102003000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175528080).

102003000 is an abundant number, since it is smaller than the sum of its proper divisors (249053160).

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

102003000 is a wasteful number, since it uses less digits than its factorization.

102003000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327 (or 302 counting only the distinct ones).

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

The square root of 102003000 is about 10099.6534594015. The cubic root of 102003000 is about 467.2374535051.

Adding to 102003000 its reverse (300201), we get a palindrome (102303201).

The spelling of 102003000 in words is "one hundred two million, three thousand".