100045827 has 16 divisors (see below), whose sum is σ = 169390080. Its totient is φ = 57168936.

The previous prime is 100045823. The next prime is 100045831. The reversal of 100045827 is 728540001.

It is an interprime number because it is at equal distance from previous prime (100045823) and next prime (100045831).

It is not a de Polignac number, because 100045827 - 2² = 100045823 is a prime.

It is a super-2 number, since 2×100045827² = 20018335000227858, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 100045827.

It is not an unprimeable number, because it can be changed into a prime (100045823) 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 15 ways as a sum of consecutive naturals, for example, 264483 + ... + 264860.

It is an arithmetic number, because the mean of its divisors is an integer number (10586880).

Almost surely, 2^100045827 is an apocalyptic number.

100045827 is a deficient number, since it is larger than the sum of its proper divisors (69344253).

100045827 is an equidigital number, since it uses as much as digits as its factorization.

100045827 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 529359 (or 529353 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 27.

The square root of 100045827 is about 10002.2910875459. The cubic root of 100045827 is about 464.2297758969.

Adding to 100045827 its reverse (728540001), we get a palindrome (828585828).

The spelling of 100045827 in words is "one hundred million, forty-five thousand, eight hundred twenty-seven".