48618100 has 18 divisors (see below), whose sum is σ = 105501494. Its totient is φ = 19447200.

The previous prime is 48618091. The next prime is 48618107. The reversal of 48618100 is 181684.

It can be written as a sum of positive squares in 3 ways, for example, as 343396 + 48274704 = 586^2 + 6948^2 .

It is a super-2 number, since 2×48618100² = 4727439295220000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48618107) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 242991 + ... + 243190.

Almost surely, 2^48618100 is an apocalyptic number.

It is an amenable number.

48618100 is an abundant number, since it is smaller than the sum of its proper divisors (56883394).

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

48618100 is a wasteful number, since it uses less digits than its factorization.

48618100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 486195 (or 486188 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

The square root of 48618100 is about 6972.6680689676. The cubic root of 48618100 is about 364.9774177559.

Adding to 48618100 its reverse (181684), we get a palindrome (48799784).

The spelling of 48618100 in words is "forty-eight million, six hundred eighteen thousand, one hundred".