45144100 has 18 divisors (see below), whose sum is σ = 97962914. Its totient is φ = 18057600.

The previous prime is 45144089. The next prime is 45144119. The reversal of 45144100 is 144154.

It can be written as a sum of positive squares in 3 ways, for example, as 10381284 + 34762816 = 3222^2 + 5896^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 225621 + ... + 225820.

Almost surely, 2^45144100 is an apocalyptic number.

It is an amenable number.

45144100 is an abundant number, since it is smaller than the sum of its proper divisors (52818814).

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

45144100 is a wasteful number, since it uses less digits than its factorization.

45144100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451455 (or 451448 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 19.

The square root of 45144100 is about 6718.9359276600. The cubic root of 45144100 is about 356.0685913368.

Adding to 45144100 its reverse (144154), we get a palindrome (45288254).

It can be divided in two parts, 451 and 44100, that added together give a triangular number (44551 = T₂₉₈).

The spelling of 45144100 in words is "forty-five million, one hundred forty-four thousand, one hundred".