48105600 has 96 divisors (see below), whose sum is σ = 158479440. Its totient is φ = 12825600.

The previous prime is 48105599. The next prime is 48105611. The reversal of 48105600 is 650184.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-3 number, since 3×48105600³ (a number of 24 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7095 + ... + 12105.

Almost surely, 2^48105600 is an apocalyptic number.

48105600 is a gapful number since it is divisible by the number (40) 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 48105600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79239720).

48105600 is an abundant number, since it is smaller than the sum of its proper divisors (110373840).

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

48105600 is a wasteful number, since it uses less digits than its factorization.

48105600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5038 (or 5021 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 48105600 is about 6935.8200668702. The cubic root of 48105600 is about 363.6904343838.

Adding to 48105600 its reverse (650184), we get a palindrome (48755784).

The spelling of 48105600 in words is "forty-eight million, one hundred five thousand, six hundred".