45268101 has 24 divisors (see below), whose sum is σ = 68009760. Its totient is φ = 28980000.

The previous prime is 45268063. The next prime is 45268147. The reversal of 45268101 is 10186254.

45268101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 45268101 - 2⁶ = 45268037 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45268001) by changing a digit.

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, 65166 + ... + 65856.

It is an arithmetic number, because the mean of its divisors is an integer number (2833740).

Almost surely, 2^45268101 is an apocalyptic number.

It is an amenable number.

45268101 is a deficient number, since it is larger than the sum of its proper divisors (22741659).

45268101 is a wasteful number, since it uses less digits than its factorization.

45268101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 977 (or 974 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 45268101 is about 6728.1573257468. The cubic root of 45268101 is about 356.3943075572.

It can be divided in two parts, 45268 and 101, that added together give a square (45369 = 213²).

The spelling of 45268101 in words is "forty-five million, two hundred sixty-eight thousand, one hundred one".