103202003100 has 288 divisors, whose sum is σ = 349417635840. Its totient is φ = 23027408640.

The previous prime is 103202003081. The next prime is 103202003123. The reversal of 103202003100 is 1300202301.

It is a happy number.

It is a super-2 number, since 2×103202003100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46091781 + ... + 46094019.

It is an arithmetic number, because the mean of its divisors is an integer number (1213255680).

Almost surely, 2^103202003100 is an apocalyptic number.

103202003100 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 103202003100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174708817920).

103202003100 is an abundant number, since it is smaller than the sum of its proper divisors (246215632740).

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

103202003100 is a wasteful number, since it uses less digits than its factorization.

103202003100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2777 (or 2770 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 103202003100 its reverse (1300202301), we get a palindrome (104502205401).

The spelling of 103202003100 in words is "one hundred three billion, two hundred two million, three thousand, one hundred".