100045527 has 16 divisors (see below), whose sum is σ = 141684192. Its totient is φ = 62576640.

The previous prime is 100045513. The next prime is 100045531. The reversal of 100045527 is 725540001.

It is not a de Polignac number, because 100045527 - 2⁴ = 100045511 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100045497 and 100045506.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100045537) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14277 + ... + 20097.

It is an arithmetic number, because the mean of its divisors is an integer number (8855262).

Almost surely, 2^100045527 is an apocalyptic number.

100045527 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

100045527 is a deficient number, since it is larger than the sum of its proper divisors (41638665).

100045527 is a wasteful number, since it uses less digits than its factorization.

100045527 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6178.

The product of its (nonzero) digits is 1400, while the sum is 24.

The square root of 100045527 is about 10002.2760909705. The cubic root of 100045527 is about 464.2293118793.

Adding to 100045527 its reverse (725540001), we get a palindrome (825585528).

The spelling of 100045527 in words is "one hundred million, forty-five thousand, five hundred twenty-seven".