100555085 has 16 divisors (see below), whose sum is σ = 131221296. Its totient is φ = 73663488.

The previous prime is 100555073. The next prime is 100555097. The reversal of 100555085 is 580555001.

100555085 = T₂₂₁ + T₂₂₂ + ... + T₈₄₉.

It is an interprime number because it is at equal distance from previous prime (100555073) and next prime (100555097).

It can be written as a sum of positive squares in 8 ways, for example, as 32228329 + 68326756 = 5677^2 + 8266^2 .

It is a cyclic number.

It is not a de Polignac number, because 100555085 - 2⁸ = 100554829 is a prime.

It is a super-2 number, since 2×100555085² = 20222650238714450, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

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 15 ways as a sum of consecutive naturals, for example, 12842 + ... + 19131.

It is an arithmetic number, because the mean of its divisors is an integer number (8201331).

Almost surely, 2^100555085 is an apocalyptic number.

It is an amenable number.

100555085 is a deficient number, since it is larger than the sum of its proper divisors (30666211).

100555085 is a wasteful number, since it uses less digits than its factorization.

100555085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32032.

The product of its (nonzero) digits is 5000, while the sum is 29.

The square root of 100555085 is about 10027.7158416062. The cubic root of 100555085 is about 465.0161246191.

The spelling of 100555085 in words is "one hundred million, five hundred fifty-five thousand, eighty-five".