103530545040 has 160 divisors (see below), whose sum is σ = 346525320960. Its totient is φ = 25418631168.

The previous prime is 103530545029. The next prime is 103530545047. The reversal of 103530545040 is 40545035301.

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 = 103530544989 and 103530545007.

It is not an unprimeable number, because it can be changed into a prime (103530545047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1171029 + ... + 1256331.

It is an arithmetic number, because the mean of its divisors is an integer number (2165783256).

Almost surely, 2^103530545040 is an apocalyptic number.

103530545040 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 103530545040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173262660480).

103530545040 is an abundant number, since it is smaller than the sum of its proper divisors (242994775920).

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

103530545040 is a wasteful number, since it uses less digits than its factorization.

103530545040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85721 (or 85715 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 30.

The spelling of 103530545040 in words is "one hundred three billion, five hundred thirty million, five hundred forty-five thousand, forty".