100821682 has 24 divisors (see below), whose sum is σ = 164456244. Its totient is φ = 46335744.

The previous prime is 100821671. The next prime is 100821683. The reversal of 100821682 is 286128001.

It is a Cunningham number, because it is equal to 10041²+1.

It can be written as a sum of positive squares in 6 ways, for example, as 1 + 100821681 = 1^2 + 10041^2 .

It is a super-2 number, since 2×100821682² = 20330023122618248, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 100821682.

It is not an unprimeable number, because it can be changed into a prime (100821683) 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 11 ways as a sum of consecutive naturals, for example, 105318 + ... + 106270.

Almost surely, 2^100821682 is an apocalyptic number.

100821682 is a deficient number, since it is larger than the sum of its proper divisors (63634562).

100821682 is a wasteful number, since it uses less digits than its factorization.

100821682 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1294 (or 1281 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 28.

The square root of 100821682 is about 10041.0000497958. Note that the first 4 decimals coincide. The cubic root of 100821682 is about 465.4267204783.

Adding to 100821682 its reverse (286128001), we get a palindrome (386949683).

It can be divided in two parts, 10082 and 1682, that multiplied together give a square (16957924 = 4118²).

The spelling of 100821682 in words is "one hundred million, eight hundred twenty-one thousand, six hundred eighty-two".