103224243200 has 132 divisors (see below), whose sum is σ = 275554407660. Its totient is φ = 38113443840.

The previous prime is 103224243197. The next prime is 103224243203. The reversal of 103224243200 is 2342422301.

It is an interprime number because it is at equal distance from previous prime (103224243197) and next prime (103224243203).

It can be written as a sum of positive squares in 6 ways, for example, as 11158119424 + 92066123776 = 105632^2 + 303424^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103224243203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 177716 + ... + 487884.

Almost surely, 2^103224243200 is an apocalyptic number.

103224243200 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 103224243200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137777203830).

103224243200 is an abundant number, since it is smaller than the sum of its proper divisors (172330164460).

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

103224243200 is a wasteful number, since it uses less digits than its factorization.

103224243200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 310212 (or 310189 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 103224243200 its reverse (2342422301), we get a palindrome (105566665501).

The spelling of 103224243200 in words is "one hundred three billion, two hundred twenty-four million, two hundred forty-three thousand, two hundred".