106984638 has 96 divisors (see below), whose sum is σ = 266063616. Its totient is φ = 32047488.

The previous prime is 106984637. The next prime is 106984651. The reversal of 106984638 is 836489601.

106984638 is a `hidden beast` number, since 1 + 0 + 6 + 9 + 8 + 4 + 638 = 666.

It is a super-2 number, since 2×106984638² = 22891425535982088, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 106984593 and 106984602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106984637) 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, 189745 + ... + 190307.

It is an arithmetic number, because the mean of its divisors is an integer number (2771496).

Almost surely, 2^106984638 is an apocalyptic number.

106984638 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 106984638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133031808).

106984638 is an abundant number, since it is smaller than the sum of its proper divisors (159078978).

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

106984638 is a wasteful number, since it uses less digits than its factorization.

106984638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 620 (or 608 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The square root of 106984638 is about 10343.3378558374. The cubic root of 106984638 is about 474.7232189920.

The spelling of 106984638 in words is "one hundred six million, nine hundred eighty-four thousand, six hundred thirty-eight".