45435104 has 48 divisors (see below), whose sum is σ = 105099120. Its totient is φ = 19061760.

The previous prime is 45435077. The next prime is 45435107. The reversal of 45435104 is 40153454.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45435107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 389 + ... + 9540.

It is an arithmetic number, because the mean of its divisors is an integer number (2189565).

Almost surely, 2^45435104 is an apocalyptic number.

45435104 is a gapful number since it is divisible by the number (44) 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 45435104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52549560).

45435104 is an abundant number, since it is smaller than the sum of its proper divisors (59664016).

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

45435104 is a wasteful number, since it uses less digits than its factorization.

45435104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9963 (or 9955 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 26.

The square root of 45435104 is about 6740.5566535710. The cubic root of 45435104 is about 356.8320394590.

Adding to 45435104 its reverse (40153454), we get a palindrome (85588558).

The spelling of 45435104 in words is "forty-five million, four hundred thirty-five thousand, one hundred four".