45024100 has 81 divisors (see below), whose sum is σ = 109181163. Its totient is φ = 16104000.

The previous prime is 45024071. The next prime is 45024101. The reversal of 45024100 is 142054.

The square root of 45024100 is 6710.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 20738916 + 24285184 = 4554^2 + 4928^2 .

It is a hoax number, since the sum of its digits (16) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (45024101) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 738070 + ... + 738130.

Almost surely, 2^45024100 is an apocalyptic number.

45024100 is the 6710-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45024100

45024100 is an abundant number, since it is smaller than the sum of its proper divisors (64157063).

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

45024100 is a wasteful number, since it uses less digits than its factorization.

45024100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158 (or 79 counting only the distinct ones).

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

The cubic root of 45024100 is about 355.7528162493.

Multiplying 45024100 by its sum of digits (16), we get a square (720385600 = 26840²).

Adding to 45024100 its reverse (142054), we get a palindrome (45166154).

The spelling of 45024100 in words is "forty-five million, twenty-four thousand, one hundred".