100605285 has 72 divisors (see below), whose sum is σ = 201131424. Its totient is φ = 46128960.

The previous prime is 100605283. The next prime is 100605299. The reversal of 100605285 is 582506001.

It is not a de Polignac number, because 100605285 - 2¹ = 100605283 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100605283) 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, 178414 + ... + 178976.

It is an arithmetic number, because the mean of its divisors is an integer number (2793492).

Almost surely, 2^100605285 is an apocalyptic number.

100605285 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

100605285 is a deficient number, since it is larger than the sum of its proper divisors (100526139).

100605285 is a wasteful number, since it uses less digits than its factorization.

With its successor (100605286) it forms an eRAP, since the sums of their prime factors are consecutive (623 and 624).

100605285 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 623 (or 601 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 100605285 is about 10030.2185918354. The cubic root of 100605285 is about 465.0934949013.

The spelling of 100605285 in words is "one hundred million, six hundred five thousand, two hundred eighty-five".