100302103000 has 288 divisors, whose sum is σ = 269860106880. Its totient is φ = 34865424000.

The previous prime is 100302102997. The next prime is 100302103001. The reversal of 100302103000 is 301203001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100302103001) 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 71 ways as a sum of consecutive naturals, for example, 64008217 + ... + 64009783.

It is an arithmetic number, because the mean of its divisors is an integer number (937014260).

Almost surely, 2^100302103000 is an apocalyptic number.

100302103000 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 100302103000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134930053440).

100302103000 is an abundant number, since it is smaller than the sum of its proper divisors (169558003880).

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

100302103000 is a wasteful number, since it uses less digits than its factorization.

100302103000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1656 (or 1608 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 10.

Adding to 100302103000 its reverse (301203001), we get a palindrome (100603306001).

It can be divided in two parts, 100302 and 103000, that added together give a palindrome (203302).

The spelling of 100302103000 in words is "one hundred billion, three hundred two million, one hundred three thousand".