45105152 has 30 divisors (see below), whose sum is σ = 90240318. Its totient is φ = 22544384.

The previous prime is 45105143. The next prime is 45105157. The reversal of 45105152 is 25150154.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 44302336 + 802816 = 6656^2 + 896^2 .

It is not an unprimeable number, because it can be changed into a prime (45105157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15008 + ... + 17760.

Almost surely, 2^45105152 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 45105152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45120159).

45105152 is an abundant number, since it is smaller than the sum of its proper divisors (45135166).

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

45105152 is an frugal number, since it uses more digits than its factorization.

45105152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2781 (or 2755 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 23.

The square root of 45105152 is about 6716.0369266406. The cubic root of 45105152 is about 355.9661626721.

The spelling of 45105152 in words is "forty-five million, one hundred five thousand, one hundred fifty-two".