45652100 has 36 divisors (see below), whose sum is σ = 106688484. Its totient is φ = 16855680.

The previous prime is 45652097. The next prime is 45652109. The reversal of 45652100 is 125654.

It can be written as a sum of positive squares in 6 ways, for example, as 19784704 + 25867396 = 4448^2 + 5086^2 .

It is a super-2 number, since 2×45652100² = 4168228468820000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (45652109) 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, 16259 + ... + 18858.

It is an arithmetic number, because the mean of its divisors is an integer number (2963569).

Almost surely, 2^45652100 is an apocalyptic number.

It is an amenable number.

45652100 is an abundant number, since it is smaller than the sum of its proper divisors (61036384).

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

45652100 is a wasteful number, since it uses less digits than its factorization.

45652100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35144 (or 35137 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 45652100 is about 6756.6337772592. The cubic root of 45652100 is about 357.3992087127.

Adding to 45652100 its reverse (125654), we get a palindrome (45777754).

The spelling of 45652100 in words is "forty-five million, six hundred fifty-two thousand, one hundred".