106313144 has 48 divisors (see below), whose sum is σ = 234885600. Its totient is φ = 44972928.

The previous prime is 106313143. The next prime is 106313149. The reversal of 106313144 is 441313601.

It is a super-2 number, since 2×106313144² = 22604969174329472, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106313143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 29252 + ... + 32684.

It is an arithmetic number, because the mean of its divisors is an integer number (4893450).

Almost surely, 2^106313144 is an apocalyptic number.

106313144 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 106313144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117442800).

106313144 is an abundant number, since it is smaller than the sum of its proper divisors (128572456).

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

106313144 is a wasteful number, since it uses less digits than its factorization.

106313144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3532 (or 3521 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 106313144 is about 10310.8265430081. The cubic root of 106313144 is about 473.7279263739.

Adding to 106313144 its reverse (441313601), we get a palindrome (547626745).

It can be divided in two parts, 1063131 and 44, that multiplied together give a palindrome (46777764).

The spelling of 106313144 in words is "one hundred six million, three hundred thirteen thousand, one hundred forty-four".