45102024 has 144 divisors (see below), whose sum is σ = 139426560. Its totient is φ = 13147200.

The previous prime is 45102023. The next prime is 45102053. The reversal of 45102024 is 42020154.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 45101988 and 45102006.

It is not an unprimeable number, because it can be changed into a prime (45102023) 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 35 ways as a sum of consecutive naturals, for example, 269989 + ... + 270155.

It is an arithmetic number, because the mean of its divisors is an integer number (968240).

Almost surely, 2^45102024 is an apocalyptic number.

45102024 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 45102024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69713280).

45102024 is an abundant number, since it is smaller than the sum of its proper divisors (94324536).

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

45102024 is a wasteful number, since it uses less digits than its factorization.

45102024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 45102024 is about 6715.8040471711. The cubic root of 45102024 is about 355.9579338420.

Adding to 45102024 its reverse (42020154), we get a palindrome (87122178).

The spelling of 45102024 in words is "forty-five million, one hundred two thousand, twenty-four".