103202012320 has 192 divisors, whose sum is σ = 277178630400. Its totient is φ = 35967016960.

The previous prime is 103202012317. The next prime is 103202012341. The reversal of 103202012320 is 23210202301.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 103202012294 and 103202012303.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6985101 + ... + 6999859.

It is an arithmetic number, because the mean of its divisors is an integer number (1443638700).

Almost surely, 2^103202012320 is an apocalyptic number.

103202012320 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 103202012320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138589315200).

103202012320 is an abundant number, since it is smaller than the sum of its proper divisors (173976618080).

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

103202012320 is a wasteful number, since it uses less digits than its factorization.

103202012320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14951 (or 14943 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 103202012320 its reverse (23210202301), we get a palindrome (126412214621).

The spelling of 103202012320 in words is "one hundred three billion, two hundred two million, twelve thousand, three hundred twenty".