45105600 has 84 divisors (see below), whose sum is σ = 147999704. Its totient is φ = 12026880.

The previous prime is 45105583. The next prime is 45105631. The reversal of 45105600 is 650154.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 102 + ... + 9498.

Almost surely, 2^45105600 is an apocalyptic number.

45105600 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45105600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73999852).

45105600 is an abundant number, since it is smaller than the sum of its proper divisors (102894104).

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

45105600 is a wasteful number, since it uses less digits than its factorization.

45105600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9422 (or 9407 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 45105600 is about 6716.0702795608. The cubic root of 45105600 is about 355.9673411946.

Adding to 45105600 its reverse (650154), we get a palindrome (45755754).

The spelling of 45105600 in words is "forty-five million, one hundred five thousand, six hundred".