45105768 has 64 divisors (see below), whose sum is σ = 125856000. Its totient is φ = 14967936.

The previous prime is 45105763. The next prime is 45105799. The reversal of 45105768 is 86750154.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (45105763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 78988 + ... + 79556.

It is an arithmetic number, because the mean of its divisors is an integer number (1966500).

Almost surely, 2^45105768 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 45105768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62928000).

45105768 is an abundant number, since it is smaller than the sum of its proper divisors (80750232).

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

45105768 is a wasteful number, since it uses less digits than its factorization.

45105768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 951 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 45105768 is about 6716.0827868632. The cubic root of 45105768 is about 355.9677831385.

The spelling of 45105768 in words is "forty-five million, one hundred five thousand, seven hundred sixty-eight".