100688287 has 24 divisors (see below), whose sum is σ = 120632976. Its totient is φ = 83760768.

The previous prime is 100688257. The next prime is 100688317. The reversal of 100688287 is 782886001.

It is an interprime number because it is at equal distance from previous prime (100688257) and next prime (100688317).

It is not a de Polignac number, because 100688287 - 2¹⁵ = 100655519 is a prime.

It is a super-2 number, since 2×100688287² = 20276262277988738, which contains 22 as substring.

It is a Duffinian number.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100688207) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 355648 + ... + 355930.

It is an arithmetic number, because the mean of its divisors is an integer number (5026374).

Almost surely, 2^100688287 is an apocalyptic number.

100688287 is a deficient number, since it is larger than the sum of its proper divisors (19944689).

100688287 is a wasteful number, since it uses less digits than its factorization.

100688287 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 487 (or 480 counting only the distinct ones).

The product of its (nonzero) digits is 43008, while the sum is 40.

The square root of 100688287 is about 10034.3553355460. The cubic root of 100688287 is about 465.2213645215.

The spelling of 100688287 in words is "one hundred million, six hundred eighty-eight thousand, two hundred eighty-seven".