45121104 has 160 divisors (see below), whose sum is σ = 151895040. Its totient is φ = 12555648.

The previous prime is 45121103. The next prime is 45121117. The reversal of 45121104 is 40112154.

45121104 is a `hidden beast` number, since 451 + 211 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45121103) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 129859 + ... + 130205.

It is an arithmetic number, because the mean of its divisors is an integer number (949344).

Almost surely, 2^45121104 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 45121104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75947520).

45121104 is an abundant number, since it is smaller than the sum of its proper divisors (106773936).

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

45121104 is a wasteful number, since it uses less digits than its factorization.

45121104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 45121104 is about 6717.2244268001. The cubic root of 45121104 is about 356.0081216848.

Adding to 45121104 its reverse (40112154), we get a palindrome (85233258).

The spelling of 45121104 in words is "forty-five million, one hundred twenty-one thousand, one hundred four".