102103038 has 64 divisors (see below), whose sum is σ = 235146240. Its totient is φ = 32817600.

The previous prime is 102103013. The next prime is 102103039. The reversal of 102103038 is 830301201.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 102103038.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102103039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 236683 + ... + 237113.

It is an arithmetic number, because the mean of its divisors is an integer number (3674160).

Almost surely, 2^102103038 is an apocalyptic number.

102103038 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 102103038, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117573120).

102103038 is an abundant number, since it is smaller than the sum of its proper divisors (133043202).

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

102103038 is a wasteful number, since it uses less digits than its factorization.

102103038 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 584 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 102103038 is about 10104.6047918758. The cubic root of 102103038 is about 467.3901491066.

Adding to 102103038 its reverse (830301201), we get a palindrome (932404239).

The spelling of 102103038 in words is "one hundred two million, one hundred three thousand, thirty-eight".