45613100 has 54 divisors (see below), whose sum is σ = 107219700. Its totient is φ = 16835520.

The previous prime is 45613081. The next prime is 45613111. The reversal of 45613100 is 131654.

It is a super-2 number, since 2×45613100² = 4161109783220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 15551 + ... + 18249.

It is an arithmetic number, because the mean of its divisors is an integer number (1985550).

Almost surely, 2^45613100 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 45613100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53609850).

45613100 is an abundant number, since it is smaller than the sum of its proper divisors (61606600).

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

45613100 is a wasteful number, since it uses less digits than its factorization.

45613100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2739 (or 2719 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 20.

The square root of 45613100 is about 6753.7471080875. The cubic root of 45613100 is about 357.2974058734.

Adding to 45613100 its reverse (131654), we get a palindrome (45744754).

The spelling of 45613100 in words is "forty-five million, six hundred thirteen thousand, one hundred".