106445313 has 32 divisors (see below), whose sum is σ = 179827200. Its totient is φ = 61648128.

The previous prime is 106445309. The next prime is 106445321. The reversal of 106445313 is 313544601.

106445313 is a `hidden beast` number, since 1 + 0 + 644 + 5 + 3 + 13 = 666.

It is not a de Polignac number, because 106445313 - 2² = 106445309 is a prime.

It is a super-2 number, since 2×106445313² = 22661209319335938, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (106445303) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2953 + ... + 14886.

It is an arithmetic number, because the mean of its divisors is an integer number (5619600).

Almost surely, 2^106445313 is an apocalyptic number.

106445313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

106445313 is a deficient number, since it is larger than the sum of its proper divisors (73381887).

106445313 is a wasteful number, since it uses less digits than its factorization.

106445313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17878 (or 17872 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 106445313 is about 10317.2337862433. The cubic root of 106445313 is about 473.9241586718.

Adding to 106445313 its reverse (313544601), we get a palindrome (419989914).

The spelling of 106445313 in words is "one hundred six million, four hundred forty-five thousand, three hundred thirteen".