45420100 has 72 divisors (see below), whose sum is σ = 108618048. Its totient is φ = 16348800.

The previous prime is 45420091. The next prime is 45420103. The reversal of 45420100 is 102454.

It is not an unprimeable number, because it can be changed into a prime (45420103) 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, 172569 + ... + 172831.

It is an arithmetic number, because the mean of its divisors is an integer number (1508584).

Almost surely, 2^45420100 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 45420100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54309024).

45420100 is an abundant number, since it is smaller than the sum of its proper divisors (63197948).

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

45420100 is a wasteful number, since it uses less digits than its factorization.

45420100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 445 (or 438 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

The square root of 45420100 is about 6739.4435972119. The cubic root of 45420100 is about 356.7927563431.

Adding to 45420100 its reverse (102454), we get a palindrome (45522554).

The spelling of 45420100 in words is "forty-five million, four hundred twenty thousand, one hundred".