1000100682 has 180 divisors, whose sum is σ = 2759144850. Its totient is φ = 269928288.

The previous prime is 1000100677. The next prime is 1000100719. The reversal of 1000100682 is 2860010001.

It can be written as a sum of positive squares in only one way, i.e., 757955961 + 242144721 = 27531^2 + 15561^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 2865444 + ... + 2865792.

Almost surely, 2^1000100682 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1000100682, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1379572425).

1000100682 is an abundant number, since it is smaller than the sum of its proper divisors (1759044168).

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

1000100682 is a wasteful number, since it uses less digits than its factorization.

1000100682 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 415 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1000100682 is about 31624.3684838132. The cubic root of 1000100682 is about 1000.0335595404.

Adding to 1000100682 its reverse (2860010001), we get a palindrome (3860110683).

The spelling of 1000100682 in words is "one billion, one hundred thousand, six hundred eighty-two".