45205104 has 160 divisors (see below), whose sum is σ = 143879680. Its totient is φ = 11943936.

The previous prime is 45205079. The next prime is 45205141. The reversal of 45205104 is 40150254.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 465984 + ... + 466080.

It is an arithmetic number, because the mean of its divisors is an integer number (899248).

Almost surely, 2^45205104 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 45205104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71939840).

45205104 is an abundant number, since it is smaller than the sum of its proper divisors (98674576).

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

45205104 is a wasteful number, since it uses less digits than its factorization.

45205104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 207 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 45205104 is about 6723.4741019803. The cubic root of 45205104 is about 356.2289063534.

Adding to 45205104 its reverse (40150254), we get a palindrome (85355358).

The spelling of 45205104 in words is "forty-five million, two hundred five thousand, one hundred four".