106081638 has 48 divisors (see below), whose sum is σ = 231238800. Its totient is φ = 32428032.

The previous prime is 106081631. The next prime is 106081643. The reversal of 106081638 is 836180601.

It is a super-2 number, since 2×106081638² = 22506627841526088, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106081599 and 106081608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106081631) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 236038 + ... + 236486.

It is an arithmetic number, because the mean of its divisors is an integer number (4817475).

Almost surely, 2^106081638 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106081638, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115619400).

106081638 is an abundant number, since it is smaller than the sum of its proper divisors (125157162).

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

106081638 is a wasteful number, since it uses less digits than its factorization.

106081638 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 713 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 33.

The square root of 106081638 is about 10299.5940696709. The cubic root of 106081638 is about 473.3838153965.

It can be divided in two parts, 10608 and 1638, that added together give a triangular number (12246 = T₁₅₆).

The spelling of 106081638 in words is "one hundred six million, eighty-one thousand, six hundred thirty-eight".