45246100 has 36 divisors (see below), whose sum is σ = 100048284. Its totient is φ = 17754880.

The previous prime is 45246073. The next prime is 45246109. The reversal of 45246100 is 164254.

It can be written as a sum of positive squares in 6 ways, for example, as 1633284 + 43612816 = 1278^2 + 6604^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45246109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1032 + ... + 9568.

It is an arithmetic number, because the mean of its divisors is an integer number (2779119).

Almost surely, 2^45246100 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 45246100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50024142).

45246100 is an abundant number, since it is smaller than the sum of its proper divisors (54802184).

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

45246100 is a wasteful number, since it uses less digits than its factorization.

45246100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8604 (or 8597 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 45246100 is about 6726.5221325734. The cubic root of 45246100 is about 356.3365604784.

The spelling of 45246100 in words is "forty-five million, two hundred forty-six thousand, one hundred".