106287313 has 16 divisors (see below), whose sum is σ = 121969152. Its totient is φ = 91728000.

The previous prime is 106287289. The next prime is 106287331. The reversal of 106287313 is 313782601.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-106287313 is a prime.

It is a super-2 number, since 2×106287313² = 22593985809519938, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106287113) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15133 + ... + 21013.

It is an arithmetic number, because the mean of its divisors is an integer number (7623072).

Almost surely, 2^106287313 is an apocalyptic number.

It is an amenable number.

106287313 is a deficient number, since it is larger than the sum of its proper divisors (15681839).

106287313 is a wasteful number, since it uses less digits than its factorization.

106287313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5976.

The product of its (nonzero) digits is 6048, while the sum is 31.

The square root of 106287313 is about 10309.5738515227. The cubic root of 106287313 is about 473.6895558996.

The spelling of 106287313 in words is "one hundred six million, two hundred eighty-seven thousand, three hundred thirteen".