45014100 has 72 divisors (see below), whose sum is σ = 131012448. Its totient is φ = 11932800.

The previous prime is 45014093. The next prime is 45014117. The reversal of 45014100 is 141054.

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 45014100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67770 + ... + 68430.

Almost surely, 2^45014100 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 45014100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65506224).

45014100 is an abundant number, since it is smaller than the sum of its proper divisors (85998348).

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

45014100 is a wasteful number, since it uses less digits than its factorization.

45014100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 905 (or 898 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 15.

The square root of 45014100 is about 6709.2548021371. The cubic root of 45014100 is about 355.7264763441.

Adding to 45014100 its reverse (141054), we get a palindrome (45155154).

The spelling of 45014100 in words is "forty-five million, fourteen thousand, one hundred".