101682126 has 96 divisors (see below), whose sum is σ = 283046400. Its totient is φ = 25641792.

The previous prime is 101682107. The next prime is 101682127. The reversal of 101682126 is 621286101.

It is a self number, because there is not a number n which added to its sum of digits gives 101682126.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101682127) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 36325 + ... + 39023.

It is an arithmetic number, because the mean of its divisors is an integer number (2948400).

Almost surely, 2^101682126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101682126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141523200).

101682126 is an abundant number, since it is smaller than the sum of its proper divisors (181364274).

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

101682126 is a wasteful number, since it uses less digits than its factorization.

101682126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2750 (or 2747 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The square root of 101682126 is about 10083.7555503890. The cubic root of 101682126 is about 466.7470044228.

The spelling of 101682126 in words is "one hundred one million, six hundred eighty-two thousand, one hundred twenty-six".