48106800 has 360 divisors, whose sum is σ = 201487104. Its totient is φ = 10391040.

The previous prime is 48106789. The next prime is 48106829. The reversal of 48106800 is 860184.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-3 number, since 3×48106800³ (a number of 24 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 579559 + ... + 579641.

Almost surely, 2^48106800 is an apocalyptic number.

48106800 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 48106800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100743552).

48106800 is an abundant number, since it is smaller than the sum of its proper divisors (153380304).

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

48106800 is a wasteful number, since it uses less digits than its factorization.

48106800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 123 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 48106800 is about 6935.9065737652. The cubic root of 48106800 is about 363.6934584593.

Adding to 48106800 its reverse (860184), we get a palindrome (48966984).

The spelling of 48106800 in words is "forty-eight million, one hundred six thousand, eight hundred".