106831638 has 48 divisors (see below), whose sum is σ = 247104000. Its totient is φ = 33239808.

The previous prime is 106831603. The next prime is 106831657. The reversal of 106831638 is 836138601.

106831638 is a `hidden beast` number, since 10 + 6 + 8 + 3 + 1 + 638 = 666.

It is a super-2 number, since 2×106831638² = 22825997755526088, which contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37488 + ... + 40236.

It is an arithmetic number, because the mean of its divisors is an integer number (5148000).

Almost surely, 2^106831638 is an apocalyptic number.

106831638 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 106831638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123552000).

106831638 is an abundant number, since it is smaller than the sum of its proper divisors (140272362).

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

106831638 is a wasteful number, since it uses less digits than its factorization.

106831638 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2901 (or 2898 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 106831638 is about 10335.9391445577. The cubic root of 106831638 is about 474.4968085912.

It can be divided in two parts, 10683 and 1638, that added together give a palindrome (12321).

The spelling of 106831638 in words is "one hundred six million, eight hundred thirty-one thousand, six hundred thirty-eight".