48960100 has 72 divisors (see below), whose sum is σ = 126741888. Its totient is φ = 16051200.

The previous prime is 48960073. The next prime is 48960103. The reversal of 48960100 is 106984.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (48960103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14580 + ... + 17620.

It is an arithmetic number, because the mean of its divisors is an integer number (1760304).

Almost surely, 2^48960100 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 48960100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63370944).

48960100 is an abundant number, since it is smaller than the sum of its proper divisors (77781788).

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

48960100 is a wasteful number, since it uses less digits than its factorization.

48960100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3085 (or 3078 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 48960100 is about 6997.1494195851. The cubic root of 48960100 is about 365.8312200186.

It can be divided in two parts, 48 and 960100, that multiplied together give a triangular number (46084800 = T₉₆₀₀).

The spelling of 48960100 in words is "forty-eight million, nine hundred sixty thousand, one hundred".