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106959 = 3101353
BaseRepresentation
bin11010000111001111
312102201110
4122013033
511410314
62143103
7623556
oct320717
9172643
10106959
11733a6
1251a93
13398b8
142ad9d
1521a59
hex1a1cf

106959 has 8 divisors (see below), whose sum is σ = 144432. Its totient is φ = 70400.

The previous prime is 106957. The next prime is 106961. The reversal of 106959 is 959601.

It is an interprime number because it is at equal distance from previous prime (106957) and next prime (106961).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 106959 - 21 = 106957 is a prime.

It is a super-2 number, since 2×1069592 = 22880455362, which contains 22 as substring.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 106959.

It is not an unprimeable number, because it can be changed into a prime (106957) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 127 + ... + 479.

It is an arithmetic number, because the mean of its divisors is an integer number (18054).

2106959 is an apocalyptic number.

106959 is a deficient number, since it is larger than the sum of its proper divisors (37473).

106959 is a wasteful number, since it uses less digits than its factorization.

106959 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457.

The product of its (nonzero) digits is 2430, while the sum is 30.

The square root of 106959 is about 327.0458683427. The cubic root of 106959 is about 47.4685294774.

Subtracting from 106959 its sum of digits (30), we obtain a square (106929 = 3272).

It can be divided in two parts, 1069 and 59, that added together give a triangular number (1128 = T47).

The spelling of 106959 in words is "one hundred six thousand, nine hundred fifty-nine".

Divisors: 1 3 101 303 353 1059 35653 106959