106368339 has 32 divisors (see below), whose sum is σ = 177463296. Its totient is φ = 55055520.

The previous prime is 106368331. The next prime is 106368349. The reversal of 106368339 is 933863601.

It is not a de Polignac number, because 106368339 - 2³ = 106368331 is a prime.

It is a super-2 number, since 2×106368339² = 22628447083237842, which contains 22 as substring.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 106368297 and 106368306.

It is not an unprimeable number, because it can be changed into a prime (106368331) 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, 79494 + ... + 80820.

It is an arithmetic number, because the mean of its divisors is an integer number (5545728).

Almost surely, 2^106368339 is an apocalyptic number.

106368339 is a deficient number, since it is larger than the sum of its proper divisors (71094957).

106368339 is a wasteful number, since it uses less digits than its factorization.

106368339 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1695.

The product of its (nonzero) digits is 69984, while the sum is 39.

The square root of 106368339 is about 10313.5027512480. The cubic root of 106368339 is about 473.8098945677.

The spelling of 106368339 in words is "one hundred six million, three hundred sixty-eight thousand, three hundred thirty-nine".