103382173440 has 864 divisors, whose sum is σ = 466212329856. Its totient is φ = 20525875200.

The previous prime is 103382173439. The next prime is 103382173487. The reversal of 103382173440 is 44371283301.

103382173440 is a `hidden beast` number, since 10 + 3 + 38 + 2 + 173 + 440 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 103382173395 and 103382173404.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17818540 + ... + 17824340.

It is an arithmetic number, because the mean of its divisors is an integer number (539597604).

Almost surely, 2^103382173440 is an apocalyptic number.

103382173440 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 103382173440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233106164928).

103382173440 is an abundant number, since it is smaller than the sum of its proper divisors (362830156416).

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

103382173440 is a wasteful number, since it uses less digits than its factorization.

103382173440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5865 (or 5848 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 103382173440 in words is "one hundred three billion, three hundred eighty-two million, one hundred seventy-three thousand, four hundred forty".