45311100 has 72 divisors (see below), whose sum is σ = 132960240. Its totient is φ = 11911680.

The previous prime is 45311089. The next prime is 45311107. The reversal of 45311100 is 111354.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 45311100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45311107) 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, 20866 + ... + 22934.

It is an arithmetic number, because the mean of its divisors is an integer number (1846670).

Almost surely, 2^45311100 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 45311100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66480120).

45311100 is an abundant number, since it is smaller than the sum of its proper divisors (87649140).

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

45311100 is a wasteful number, since it uses less digits than its factorization.

45311100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2159 (or 2152 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 45311100 is about 6731.3520187255. The cubic root of 45311100 is about 356.5071150965.

Adding to 45311100 its reverse (111354), we get a palindrome (45422454).

The spelling of 45311100 in words is "forty-five million, three hundred eleven thousand, one hundred".