106947 has 16 divisors (see below), whose sum is σ = 168480. Its totient is φ = 66816.

The previous prime is 106937. The next prime is 106949. The reversal of 106947 is 749601.

It is not a de Polignac number, because 106947 - 2¹⁶ = 41411 is a prime.

It is a super-2 number, since 2×106947² = 22875321618, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 106947.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 106947.

It is not an unprimeable number, because it can be changed into a prime (106949) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 343 + ... + 575.

It is an arithmetic number, because the mean of its divisors is an integer number (10530).

2¹⁰⁶⁹⁴⁷ is an apocalyptic number.

106947 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

106947 is a deficient number, since it is larger than the sum of its proper divisors (61533).

106947 is a wasteful number, since it uses less digits than its factorization.

106947 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 253 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The square root of 106947 is about 327.0275217776. The cubic root of 106947 is about 47.4667542063.

It can be divided in two parts, 10694 and 7, that added together give a palindrome (10701).

The spelling of 106947 in words is "one hundred six thousand, nine hundred forty-seven".