45105240 has 128 divisors (see below), whose sum is σ = 144921600. Its totient is φ = 11197440.

The previous prime is 45105239. The next prime is 45105241. The reversal of 45105240 is 4250154.

It is an interprime number because it is at equal distance from previous prime (45105239) and next prime (45105241).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45105241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 166305 + ... + 166575.

It is an arithmetic number, because the mean of its divisors is an integer number (1132200).

Almost surely, 2^45105240 is an apocalyptic number.

45105240 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 45105240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72460800).

45105240 is an abundant number, since it is smaller than the sum of its proper divisors (99816360).

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

45105240 is a wasteful number, since it uses less digits than its factorization.

45105240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 45105240 is about 6716.0434781201. The cubic root of 45105240 is about 355.9663941682.

Adding to 45105240 its reverse (4250154), we get a palindrome (49355394).

The spelling of 45105240 in words is "forty-five million, one hundred five thousand, two hundred forty".