45100160 has 64 divisors (see below), whose sum is σ = 123232320. Its totient is φ = 15461376.

The previous prime is 45100117. The next prime is 45100169. The reversal of 45100160 is 6100154.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (45100169) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 554 + ... + 9513.

It is an arithmetic number, because the mean of its divisors is an integer number (1925505).

Almost surely, 2^45100160 is an apocalyptic number.

45100160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 45100160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61616160).

45100160 is an abundant number, since it is smaller than the sum of its proper divisors (78132160).

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

45100160 is a wasteful number, since it uses less digits than its factorization.

45100160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10093 (or 10081 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 45100160 is about 6715.6652686089. The cubic root of 45100160 is about 355.9530300359.

The spelling of 45100160 in words is "forty-five million, one hundred thousand, one hundred sixty".