45096100 has 72 divisors (see below), whose sum is σ = 116742528. Its totient is φ = 14784000.

The previous prime is 45096067. The next prime is 45096109. The reversal of 45096100 is 169054.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (45096109) 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, 14700 + ... + 17500.

It is an arithmetic number, because the mean of its divisors is an integer number (1621424).

Almost surely, 2^45096100 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 45096100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58371264).

45096100 is an abundant number, since it is smaller than the sum of its proper divisors (71646428).

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

45096100 is a wasteful number, since it uses less digits than its factorization.

45096100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2845 (or 2838 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 45096100 is about 6715.3629834879. The cubic root of 45096100 is about 355.9423485316.

It can be divided in two parts, 4509 and 6100, that added together give a square (10609 = 103²).

The spelling of 45096100 in words is "forty-five million, ninety-six thousand, one hundred".