45632100 has 72 divisors (see below), whose sum is σ = 135630208. Its totient is φ = 11836800.

The previous prime is 45632089. The next prime is 45632107. The reversal of 45632100 is 123654.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (45632107) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 9045 + ... + 13155.

Almost surely, 2^45632100 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 45632100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67815104).

45632100 is an abundant number, since it is smaller than the sum of its proper divisors (89998108).

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

45632100 is a wasteful number, since it uses less digits than its factorization.

45632100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4165 (or 4158 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 21.

The square root of 45632100 is about 6755.1535881873. The cubic root of 45632100 is about 357.3470093742.

Adding to 45632100 its reverse (123654), we get a palindrome (45755754).

The spelling of 45632100 in words is "forty-five million, six hundred thirty-two thousand, one hundred".