45100 has 36 divisors (see below), whose sum is σ = 109368. Its totient is φ = 16000.

The previous prime is 45083. The next prime is 45119. The reversal of 45100 is 154.

45100 = T₈₅ + T₈₆ + ... + T₉₅.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a nialpdrome in base 6.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1080 + ... + 1120.

It is an arithmetic number, because the mean of its divisors is an integer number (3038).

2⁴⁵¹⁰⁰ 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 45100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54684).

45100 is an abundant number, since it is smaller than the sum of its proper divisors (64268).

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

45100 is a wasteful number, since it uses less digits than its factorization.

45100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 10.

The square root of 45100 is about 212.3676058160. The cubic root of 45100 is about 35.5952609102.

Adding to 45100 its reverse (154), we get a palindrome (45254).

The spelling of 45100 in words is "forty-five thousand, one hundred".