45211606350100 has 36 divisors (see below), whose sum is σ = 100502092759068. Its totient is φ = 17643553696000.

The previous prime is 45211606350091. The next prime is 45211606350103. The reversal of 45211606350100 is 105360611254.

45211606350100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 383921508996 + 44827684841104 = 619614^2 + 6695348^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45211606350103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5513606431 + ... + 5513614630.

It is an arithmetic number, because the mean of its divisors is an integer number (2791724798863).

Almost surely, 2^{45211606350100} is an apocalyptic number.

It is an amenable number.

45211606350100 is an abundant number, since it is smaller than the sum of its proper divisors (55290486408968).

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

45211606350100 is a wasteful number, since it uses less digits than its factorization.

45211606350100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11027221116 (or 11027221109 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 34.

Adding to 45211606350100 its reverse (105360611254), we get a palindrome (45316966961354).

The spelling of 45211606350100 in words is "forty-five trillion, two hundred eleven billion, six hundred six million, three hundred fifty thousand, one hundred".