103180385040 has 160 divisors (see below), whose sum is σ = 322436505600. Its totient is φ = 27293898240.

The previous prime is 103180385023. The next prime is 103180385053. The reversal of 103180385040 is 40583081301.

It is a junction number, because it is equal to n+sod(n) for n = 103180384992 and 103180385010.

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, 17370391 + ... + 17376329.

It is an arithmetic number, because the mean of its divisors is an integer number (2015228160).

Almost surely, 2^103180385040 is an apocalyptic number.

103180385040 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 103180385040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161218252800).

103180385040 is an abundant number, since it is smaller than the sum of its proper divisors (219256120560).

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

103180385040 is a wasteful number, since it uses less digits than its factorization.

103180385040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6525 (or 6519 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The spelling of 103180385040 in words is "one hundred three billion, one hundred eighty million, three hundred eighty-five thousand, forty".