45106560 has 192 divisors, whose sum is σ = 160392960. Its totient is φ = 11673600.

The previous prime is 45106543. The next prime is 45106583. The reversal of 45106560 is 6560154.

It is a happy number.

45106560 is a `hidden beast` number, since 4 + 5 + 1 + 0 + 656 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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, 236065 + ... + 236255.

It is an arithmetic number, because the mean of its divisors is an integer number (835380).

Almost surely, 2^45106560 is an apocalyptic number.

45106560 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 45106560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80196480).

45106560 is an abundant number, since it is smaller than the sum of its proper divisors (115286400).

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

45106560 is a wasteful number, since it uses less digits than its factorization.

45106560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 242 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 45106560 is about 6716.1417495464. The cubic root of 45106560 is about 355.9698665737.

The spelling of 45106560 in words is "forty-five million, one hundred six thousand, five hundred sixty".