45105000 has 160 divisors (see below), whose sum is σ = 146952960. Its totient is φ = 11520000.

The previous prime is 45104999. The next prime is 45105013. The reversal of 45105000 is 50154.

45105000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×45105000² = 4068922050000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 464952 + ... + 465048.

It is an arithmetic number, because the mean of its divisors is an integer number (918456).

Almost surely, 2^45105000 is an apocalyptic number.

45105000 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 45105000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73476480).

45105000 is an abundant number, since it is smaller than the sum of its proper divisors (101847960).

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

45105000 is a wasteful number, since it uses less digits than its factorization.

45105000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 138 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 15.

The square root of 45105000 is about 6716.0256104336. The cubic root of 45105000 is about 355.9657628144.

Adding to 45105000 its reverse (50154), we get a palindrome (45155154).

The spelling of 45105000 in words is "forty-five million, one hundred five thousand".