100683936 has 72 divisors (see below), whose sum is σ = 290302740. Its totient is φ = 33094656.

The previous prime is 100683923. The next prime is 100683937. The reversal of 100683936 is 639386001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 95648400 + 5035536 = 9780^2 + 2244^2 .

It is a tau number, because it is divible by the number of its divisors (72).

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

It is a self number, because there is not a number n which added to its sum of digits gives 100683936.

It is not an unprimeable number, because it can be changed into a prime (100683937) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18630 + ... + 23418.

Almost surely, 2^100683936 is an apocalyptic number.

100683936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100683936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145151370).

100683936 is an abundant number, since it is smaller than the sum of its proper divisors (189618804).

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

100683936 is a wasteful number, since it uses less digits than its factorization.

100683936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4878 (or 4867 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 36.

The square root of 100683936 is about 10034.1385280451. The cubic root of 100683936 is about 465.2146632876.

The spelling of 100683936 in words is "one hundred million, six hundred eighty-three thousand, nine hundred thirty-six".