45653100 has 72 divisors (see below), whose sum is σ = 135199680. Its totient is φ = 11887680.

The previous prime is 45653099. The next prime is 45653117. The reversal of 45653100 is 135654.

45653100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×45653100² = 4168411079220000, which contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11131 + ... + 14669.

Almost surely, 2^45653100 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 45653100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67599840).

45653100 is an abundant number, since it is smaller than the sum of its proper divisors (89546580).

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

45653100 is a wasteful number, since it uses less digits than its factorization.

45653100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3599 (or 3592 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 45653100 is about 6756.7077782009. The cubic root of 45653100 is about 357.4018182794.

Adding to 45653100 its reverse (135654), we get a palindrome (45788754).

It can be divided in two parts, 45653 and 100, that added together give a triangular number (45753 = T₃₀₂).

The spelling of 45653100 in words is "forty-five million, six hundred fifty-three thousand, one hundred".