100683864 has 64 divisors (see below), whose sum is σ = 286524000. Its totient is φ = 32739840.

The previous prime is 100683833. The next prime is 100683871. The reversal of 100683864 is 468386001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3172 + ... + 14540.

Almost surely, 2^100683864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100683864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143262000).

100683864 is an abundant number, since it is smaller than the sum of its proper divisors (185840136).

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

100683864 is a wasteful number, since it uses less digits than its factorization.

100683864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11425 (or 11415 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 100683864 is about 10034.1349402926. The cubic root of 100683864 is about 465.2145523944.

The spelling of 100683864 in words is "one hundred million, six hundred eighty-three thousand, eight hundred sixty-four".