48632100 has 72 divisors (see below), whose sum is σ = 153511008. Its totient is φ = 11788800.

The previous prime is 48632099. The next prime is 48632137. The reversal of 48632100 is 123684.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4069 + ... + 10668.

Almost surely, 2^48632100 is an apocalyptic number.

It is an amenable number.

48632100 is an abundant number, since it is smaller than the sum of its proper divisors (104878908).

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

48632100 is a wasteful number, since it uses less digits than its factorization.

48632100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14765 (or 14758 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

The square root of 48632100 is about 6973.6719165731. The cubic root of 48632100 is about 365.0124471892.

Adding to 48632100 its reverse (123684), we get a palindrome (48755784).

The spelling of 48632100 in words is "forty-eight million, six hundred thirty-two thousand, one hundred".