45107064 has 128 divisors (see below), whose sum is σ = 136800000. Its totient is φ = 13716864.

The previous prime is 45107053. The next prime is 45107089. The reversal of 45107064 is 46070154.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 118827 + ... + 119205.

It is an arithmetic number, because the mean of its divisors is an integer number (1068750).

Almost surely, 2^45107064 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 45107064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68400000).

45107064 is an abundant number, since it is smaller than the sum of its proper divisors (91692936).

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

45107064 is a wasteful number, since it uses less digits than its factorization.

45107064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 27.

The square root of 45107064 is about 6716.1792709844. The cubic root of 45107064 is about 355.9711923834.

The spelling of 45107064 in words is "forty-five million, one hundred seven thousand, sixty-four".