45102768 has 80 divisors (see below), whose sum is σ = 127420416. Its totient is φ = 13685760.

The previous prime is 45102767. The next prime is 45102779. The reversal of 45102768 is 86720154.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45102763) 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 15 ways as a sum of consecutive naturals, for example, 24405 + ... + 26187.

Almost surely, 2^45102768 is an apocalyptic number.

45102768 is a gapful number since it is divisible by the number (48) 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 45102768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63710208).

45102768 is an abundant number, since it is smaller than the sum of its proper divisors (82317648).

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

45102768 is a wasteful number, since it uses less digits than its factorization.

45102768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1842 (or 1836 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 45102768 is about 6715.8594386720. The cubic root of 45102768 is about 355.9598911174.

The spelling of 45102768 in words is "forty-five million, one hundred two thousand, seven hundred sixty-eight".