48005100 has 216 divisors, whose sum is σ = 177249072. Its totient is φ = 10713600.

The previous prime is 48005099. The next prime is 48005101. The reversal of 48005100 is 150084.

It is an interprime number because it is at equal distance from previous prime (48005099) and next prime (48005101).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (48005101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 128514 + ... + 128886.

Almost surely, 2^48005100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48005100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88624536).

48005100 is an abundant number, since it is smaller than the sum of its proper divisors (129243972).

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

48005100 is a wasteful number, since it uses less digits than its factorization.

48005100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 48005100 is about 6928.5712812960. The cubic root of 48005100 is about 363.4369893815.

Adding to 48005100 its reverse (150084), we get a palindrome (48155184).

The spelling of 48005100 in words is "forty-eight million, five thousand, one hundred".