45079100 has 72 divisors (see below), whose sum is σ = 107993088. Its totient is φ = 16196800.

The previous prime is 45079081. The next prime is 45079109. The reversal of 45079100 is 197054.

It is a self number, because there is not a number n which added to its sum of digits gives 45079100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45079109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117509 + ... + 117891.

It is an arithmetic number, because the mean of its divisors is an integer number (1499904).

Almost surely, 2^45079100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45079100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53996544).

45079100 is an abundant number, since it is smaller than the sum of its proper divisors (62913988).

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

45079100 is a wasteful number, since it uses less digits than its factorization.

45079100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 508 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 26.

The square root of 45079100 is about 6714.0971098131. The cubic root of 45079100 is about 355.8976160570.

The spelling of 45079100 in words is "forty-five million, seventy-nine thousand, one hundred".