103541331040 has 192 divisors, whose sum is σ = 285293352960. Its totient is φ = 34779064320.

The previous prime is 103541331001. The next prime is 103541331053. The reversal of 103541331040 is 40133145301.

It is a super-3 number, since 3×103541331040³ (a number of 34 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103541330996 and 103541331014.

It is a congruent number.

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, 11586414 + ... + 11595346.

It is an arithmetic number, because the mean of its divisors is an integer number (1485902880).

Almost surely, 2^103541331040 is an apocalyptic number.

103541331040 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 103541331040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142646676480).

103541331040 is an abundant number, since it is smaller than the sum of its proper divisors (181752021920).

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

103541331040 is a wasteful number, since it uses less digits than its factorization.

103541331040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9165 (or 9157 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

Adding to 103541331040 its reverse (40133145301), we get a palindrome (143674476341).

The spelling of 103541331040 in words is "one hundred three billion, five hundred forty-one million, three hundred thirty-one thousand, forty".