103954560 has 128 divisors (see below), whose sum is σ = 342964800. Its totient is φ = 26750976.

The previous prime is 103954559. The next prime is 103954561. The reversal of 103954560 is 65459301.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (103954559) and next prime (103954561).

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (103954561) 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, 54747 + ... + 56613.

Almost surely, 2^103954560 is an apocalyptic number.

103954560 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 103954560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171482400).

103954560 is an abundant number, since it is smaller than the sum of its proper divisors (239010240).

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

103954560 is a wasteful number, since it uses less digits than its factorization.

103954560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1918 (or 1906 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 33.

The square root of 103954560 is about 10195.8109044843. The cubic root of 103954560 is about 470.1984374076.

The spelling of 103954560 in words is "one hundred three million, nine hundred fifty-four thousand, five hundred sixty".