48980100 has 144 divisors (see below), whose sum is σ = 160892480. Its totient is φ = 11404800.

The previous prime is 48980083. The next prime is 48980137. The reversal of 48980100 is 108984.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73770 + ... + 74430.

Almost surely, 2^48980100 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 48980100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80446240).

48980100 is an abundant number, since it is smaller than the sum of its proper divisors (111912380).

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

48980100 is a wasteful number, since it uses less digits than its factorization.

48980100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 30.

The square root of 48980100 is about 6998.5784270807. The cubic root of 48980100 is about 365.8810267548.

The spelling of 48980100 in words is "forty-eight million, nine hundred eighty thousand, one hundred".