103956480 has 240 divisors, whose sum is σ = 377475840. Its totient is φ = 27131904.

The previous prime is 103956469. The next prime is 103956487. The reversal of 103956480 is 84659301.

103956480 is a `hidden beast` number, since 1 + 0 + 3 + 9 + 5 + 648 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is not an unprimeable number, because it can be changed into a prime (103956487) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2211817 + ... + 2211863.

It is an arithmetic number, because the mean of its divisors is an integer number (1572816).

Almost surely, 2^103956480 is an apocalyptic number.

103956480 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 103956480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188737920).

103956480 is an abundant number, since it is smaller than the sum of its proper divisors (273519360).

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

103956480 is an frugal number, since it uses more digits than its factorization.

103956480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 57 counting only the distinct ones).

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

The square root of 103956480 is about 10195.9050603661. The cubic root of 103956480 is about 470.2013321835.

The spelling of 103956480 in words is "one hundred three million, nine hundred fifty-six thousand, four hundred eighty".