45105984 has 280 divisors, whose sum is σ = 168176448. Its totient is φ = 11612160.

The previous prime is 45105953. The next prime is 45106007. The reversal of 45105984 is 48950154.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 399112 + ... + 399224.

Almost surely, 2^45105984 is an apocalyptic number.

45105984 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 45105984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84088224).

45105984 is an abundant number, since it is smaller than the sum of its proper divisors (123070464).

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

45105984 is a wasteful number, since it uses less digits than its factorization.

45105984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155 (or 136 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 45105984 is about 6716.0988676463. The cubic root of 45105984 is about 355.9683513505.

The spelling of 45105984 in words is "forty-five million, one hundred five thousand, nine hundred eighty-four".