106109118 has 48 divisors (see below), whose sum is σ = 238483440. Its totient is φ = 34069248.

The previous prime is 106109117. The next prime is 106109119. The reversal of 106109118 is 811901601.

It is an interprime number because it is at equal distance from previous prime (106109117) and next prime (106109119).

It is a super-2 number, since 2×106109118² = 22518289845475848, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106109091 and 106109100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106109111) 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, 70518 + ... + 72006.

It is an arithmetic number, because the mean of its divisors is an integer number (4968405).

Almost surely, 2^106109118 is an apocalyptic number.

106109118 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 106109118, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119241720).

106109118 is an abundant number, since it is smaller than the sum of its proper divisors (132374322).

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

106109118 is a wasteful number, since it uses less digits than its factorization.

106109118 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1641 (or 1638 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 27.

The square root of 106109118 is about 10300.9280164459. The cubic root of 106109118 is about 473.4246878930.

The spelling of 106109118 in words is "one hundred six million, one hundred nine thousand, one hundred eighteen".