103956480000 has 720 divisors, whose sum is σ = 393088671360. Its totient is φ = 27131904000.

The previous prime is 103956479971. The next prime is 103956480041. The reversal of 103956480000 is 84659301.

103956480000 is a `hidden beast` number, since 1 + 0 + 3 + 9 + 5 + 648 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2211839977 + ... + 2211840023.

It is an arithmetic number, because the mean of its divisors is an integer number (545956488).

Almost surely, 2^103956480000 is an apocalyptic number.

103956480000 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 103956480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196544335680).

103956480000 is an abundant number, since it is smaller than the sum of its proper divisors (289132191360).

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

103956480000 is an frugal number, since it uses more digits than its factorization.

103956480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 57 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 103956480000 in words is "one hundred three billion, nine hundred fifty-six million, four hundred eighty thousand".