100087760 has 20 divisors (see below), whose sum is σ = 232704228. Its totient is φ = 40035072.

The previous prime is 100087759. The next prime is 100087807. The reversal of 100087760 is 67780001.

It can be written as a sum of positive squares in 2 ways, for example, as 35188624 + 64899136 = 5932^2 + 8056^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-3 number, since 3×100087760³ (a number of 25 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 625469 + ... + 625628.

Almost surely, 2^100087760 is an apocalyptic number.

100087760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100087760 is an abundant number, since it is smaller than the sum of its proper divisors (132616468).

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

100087760 is a wasteful number, since it uses less digits than its factorization.

100087760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1251110 (or 1251104 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 29.

The square root of 100087760 is about 10004.3870376950. The cubic root of 100087760 is about 464.2946256052.

The spelling of 100087760 in words is "one hundred million, eighty-seven thousand, seven hundred sixty".