100086480 has 360 divisors, whose sum is σ = 394917432. Its totient is φ = 22560768.

The previous prime is 100086461. The next prime is 100086487. The reversal of 100086480 is 84680001.

100086480 is a `hidden beast` number, since 10 + 0 + 0 + 8 + 648 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 1838736 + 98247744 = 1356^2 + 9912^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100086487) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2705022 + ... + 2705058.

Almost surely, 2^100086480 is an apocalyptic number.

100086480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100086480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197458716).

100086480 is an abundant number, since it is smaller than the sum of its proper divisors (294830952).

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

100086480 is a wasteful number, since it uses less digits than its factorization.

100086480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 100086480 is about 10004.3230655552. The cubic root of 100086480 is about 464.2926463434.

The spelling of 100086480 in words is "one hundred million, eighty-six thousand, four hundred eighty".