100682100 has 54 divisors (see below), whose sum is σ = 315585270. Its totient is φ = 26848320.

The previous prime is 100682093. The next prime is 100682107. The reversal of 100682100 is 1286001.

It is an interprime number because it is at equal distance from previous prime (100682093) and next prime (100682107).

It can be written as a sum of positive squares in 3 ways, for example, as 1838736 + 98843364 = 1356^2 + 9942^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100682107) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 55035 + ... + 56834.

Almost surely, 2^100682100 is an apocalyptic number.

100682100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100682100 is an abundant number, since it is smaller than the sum of its proper divisors (214903170).

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

100682100 is a wasteful number, since it uses less digits than its factorization.

100682100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111889 (or 111879 counting only the distinct ones).

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

The square root of 100682100 is about 10034.0470399535. The cubic root of 100682100 is about 465.2118354968.

The spelling of 100682100 in words is "one hundred million, six hundred eighty-two thousand, one hundred".