106313949 has 24 divisors (see below), whose sum is σ = 184741440. Its totient is φ = 57552768.

The previous prime is 106313941. The next prime is 106313969. The reversal of 106313949 is 949313601.

106313949 is a `hidden beast` number, since 10 + 631 + 3 + 9 + 4 + 9 = 666.

It is not a de Polignac number, because 106313949 - 2³ = 106313941 is a prime.

It is a super-2 number, since 2×106313949² = 22605311503949202, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106313941) 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, 43212 + ... + 45605.

It is an arithmetic number, because the mean of its divisors is an integer number (7697560).

Almost surely, 2^106313949 is an apocalyptic number.

106313949 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

It is an amenable number.

106313949 is a deficient number, since it is larger than the sum of its proper divisors (78427491).

106313949 is a wasteful number, since it uses less digits than its factorization.

106313949 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88849 (or 88846 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 106313949 is about 10310.8655795719. The cubic root of 106313949 is about 473.7291220555.

The spelling of 106313949 in words is "one hundred six million, three hundred thirteen thousand, nine hundred forty-nine".