100001688 has 16 divisors (see below), whose sum is σ = 250004280. Its totient is φ = 33333888.

The previous prime is 100001687. The next prime is 100001689. The reversal of 100001688 is 886100001.

It is an interprime number because it is at equal distance from previous prime (100001687) and next prime (100001689).

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 4166737 = 100001688 / (1 + 0 + 0 + 0 + 0 + 1 + 6 + 8 + 8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100001687) by changing a digit.

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, 2083345 + ... + 2083392.

Almost surely, 2^100001688 is an apocalyptic number.

It is an amenable number.

100001688 is an abundant number, since it is smaller than the sum of its proper divisors (150002592).

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

100001688 is a wasteful number, since it uses less digits than its factorization.

100001688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4166746 (or 4166742 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

The square root of 100001688 is about 10000.0843996438. The cubic root of 100001688 is about 464.1614950139.

Adding to 100001688 its reverse (886100001), we get a palindrome (986101689).

The spelling of 100001688 in words is "one hundred million, one thousand, six hundred eighty-eight".