100045872 has 30 divisors (see below), whose sum is σ = 279989892. Its totient is φ = 33348576.

The previous prime is 100045831. The next prime is 100045873. The reversal of 100045872 is 278540001.

It is not an unprimeable number, because it can be changed into a prime (100045873) 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 5 ways as a sum of consecutive naturals, for example, 347238 + ... + 347525.

Almost surely, 2^100045872 is an apocalyptic number.

100045872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100045872 is an abundant number, since it is smaller than the sum of its proper divisors (179944020).

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

100045872 is a wasteful number, since it uses less digits than its factorization.

100045872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 694777 (or 694768 counting only the distinct ones).

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

The square root of 100045872 is about 10002.2933370303. The cubic root of 100045872 is about 464.2298454995.

Adding to 100045872 its reverse (278540001), we get a palindrome (378585873).

It can be divided in two parts, 10004 and 5872, that added together give a square (15876 = 126²).

The spelling of 100045872 in words is "one hundred million, forty-five thousand, eight hundred seventy-two".