103213424352500 has 240 divisors, whose sum is σ = 281449525822080. Its totient is φ = 32164879680000.

The previous prime is 103213424352487. The next prime is 103213424352517. The reversal of 103213424352500 is 5253424312301.

103213424352500 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1199039462 + ... + 1199125538.

It is an arithmetic number, because the mean of its divisors is an integer number (1172706357592).

Almost surely, 2^{103213424352500} is an apocalyptic number.

103213424352500 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 103213424352500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140724762911040).

103213424352500 is an abundant number, since it is smaller than the sum of its proper divisors (178236101469580).

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

103213424352500 is a wasteful number, since it uses less digits than its factorization.

103213424352500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92348 (or 92331 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 35.

Adding to 103213424352500 its reverse (5253424312301), we get a palindrome (108466848664801).

The spelling of 103213424352500 in words is "one hundred three trillion, two hundred thirteen billion, four hundred twenty-four million, three hundred fifty-two thousand, five hundred".