100180048 has 40 divisors (see below), whose sum is σ = 207689832. Its totient is φ = 46645248.

The previous prime is 100180039. The next prime is 100180063. The reversal of 100180048 is 840081001.

It can be written as a sum of positive squares in 4 ways, for example, as 3196944 + 96983104 = 1788^2 + 9848^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 24486 + ... + 28282.

Almost surely, 2^100180048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100180048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103844916).

100180048 is an abundant number, since it is smaller than the sum of its proper divisors (107509784).

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

100180048 is a wasteful number, since it uses less digits than its factorization.

100180048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3919 (or 3913 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 22.

The square root of 100180048 is about 10008.9983514835. The cubic root of 100180048 is about 464.4372859374.

The spelling of 100180048 in words is "one hundred million, one hundred eighty thousand, forty-eight".