103224545040 has 160 divisors (see below), whose sum is σ = 326039132160. Its totient is φ = 27008497152.

The previous prime is 103224545027. The next prime is 103224545057. The reversal of 103224545040 is 40545422301.

103224545040 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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 103224544989 and 103224545007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7738857 + ... + 7752183.

It is an arithmetic number, because the mean of its divisors is an integer number (2037744576).

Almost surely, 2^103224545040 is an apocalyptic number.

103224545040 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 103224545040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163019566080).

103224545040 is an abundant number, since it is smaller than the sum of its proper divisors (222814587120).

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

103224545040 is a wasteful number, since it uses less digits than its factorization.

103224545040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13949 (or 13943 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 103224545040 its reverse (40545422301), we get a palindrome (143769967341).

The spelling of 103224545040 in words is "one hundred three billion, two hundred twenty-four million, five hundred forty-five thousand, forty".