103002404100 has 144 divisors (see below), whose sum is σ = 304471345920. Its totient is φ = 26878924800.

The previous prime is 103002404069. The next prime is 103002404149. The reversal of 103002404100 is 1404200301.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 103002404100.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2658870 + ... + 2697330.

Almost surely, 2^103002404100 is an apocalyptic number.

103002404100 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 103002404100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152235672960).

103002404100 is an abundant number, since it is smaller than the sum of its proper divisors (201468941820).

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

103002404100 is a wasteful number, since it uses less digits than its factorization.

103002404100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38670 (or 38663 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 103002404100 its reverse (1404200301), we get a palindrome (104406604401).

The spelling of 103002404100 in words is "one hundred three billion, two million, four hundred four thousand, one hundred".