45105624 has 96 divisors (see below), whose sum is σ = 132509520. Its totient is φ = 13805568.

The previous prime is 45105583. The next prime is 45105631. The reversal of 45105624 is 42650154.

It is a congruent 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, 52204 + ... + 53060.

Almost surely, 2^45105624 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 45105624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66254760).

45105624 is an abundant number, since it is smaller than the sum of its proper divisors (87403896).

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

45105624 is a wasteful number, since it uses less digits than its factorization.

45105624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 929 (or 922 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 45105624 is about 6716.0720663197. The cubic root of 45105624 is about 355.9674043295.

Adding to 45105624 its reverse (42650154), we get a palindrome (87755778).

The spelling of 45105624 in words is "forty-five million, one hundred five thousand, six hundred twenty-four".