106344084 has 96 divisors (see below), whose sum is σ = 313915392. Its totient is φ = 27216000.

The previous prime is 106344059. The next prime is 106344109. The reversal of 106344084 is 480443601.

It is an interprime number because it is at equal distance from previous prime (106344059) and next prime (106344109).

It is a super-2 number, since 2×106344084² = 22618128403598112, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64794 + ... + 66414.

It is an arithmetic number, because the mean of its divisors is an integer number (3269952).

Almost surely, 2^106344084 is an apocalyptic number.

106344084 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106344084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156957696).

106344084 is an abundant number, since it is smaller than the sum of its proper divisors (207571308).

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

106344084 is a wasteful number, since it uses less digits than its factorization.

106344084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1717 (or 1715 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 106344084 is about 10312.3267985455. The cubic root of 106344084 is about 473.7738777958.

Adding to 106344084 its reverse (480443601), we get a palindrome (586787685).

The spelling of 106344084 in words is "one hundred six million, three hundred forty-four thousand, eighty-four".