45550100 has 36 divisors (see below), whose sum is σ = 99256668. Its totient is φ = 18144000.

The previous prime is 45550093. The next prime is 45550147. The reversal of 45550100 is 105554.

It can be written as a sum of positive squares in 6 ways, for example, as 364816 + 45185284 = 604^2 + 6722^2 .

It is a super-2 number, since 2×45550100² = 4149623220020000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 27290 + ... + 28910.

Almost surely, 2^45550100 is an apocalyptic number.

It is an amenable number.

45550100 is an abundant number, since it is smaller than the sum of its proper divisors (53706568).

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

45550100 is a wasteful number, since it uses less digits than its factorization.

45550100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1916 (or 1909 counting only the distinct ones).

The product of its (nonzero) digits is 500, while the sum is 20.

The square root of 45550100 is about 6749.0814189784. The cubic root of 45550100 is about 357.1328324805.

Adding to 45550100 its reverse (105554), we get a palindrome (45655654).

The spelling of 45550100 in words is "forty-five million, five hundred fifty thousand, one hundred".