103200463604 has 96 divisors (see below), whose sum is σ = 215659960320. Its totient is φ = 42277552128.

The previous prime is 103200463601. The next prime is 103200463651. The reversal of 103200463604 is 406364002301.

It is a super-3 number, since 3×103200463604³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103200463601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34946192 + ... + 34949144.

It is an arithmetic number, because the mean of its divisors is an integer number (2246457920).

Almost surely, 2^103200463604 is an apocalyptic number.

103200463604 is a gapful number since it is divisible by the number (14) 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 103200463604, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107829980160).

103200463604 is an abundant number, since it is smaller than the sum of its proper divisors (112459496716).

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

103200463604 is a wasteful number, since it uses less digits than its factorization.

103200463604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3409 (or 3407 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 103200463604 its reverse (406364002301), we get a palindrome (509564465905).

The spelling of 103200463604 in words is "one hundred three billion, two hundred million, four hundred sixty-three thousand, six hundred four".