Search a number
-
+
106712709 = 3234167563
BaseRepresentation
bin1100101110001…
…00111010000101
321102210120022120
412113010322011
5204304301314
614331120153
72434020525
oct627047205
9242716276
10106712709
1155266924
122b8a3059
131915401c
141025b685
15957d8a9
hex65c4e85

106712709 has 32 divisors (see below), whose sum is σ = 154635264. Its totient is φ = 65281920.

The previous prime is 106712693. The next prime is 106712717. The reversal of 106712709 is 907217601.

It is not a de Polignac number, because 106712709 - 24 = 106712693 is a prime.

It is a super-2 number, since 2×1067127092 = 22775204524237362, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106712709.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106712909) 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 31 ways as a sum of consecutive naturals, for example, 189262 + ... + 189824.

It is an arithmetic number, because the mean of its divisors is an integer number (4832352).

Almost surely, 2106712709 is an apocalyptic number.

It is an amenable number.

106712709 is a deficient number, since it is larger than the sum of its proper divisors (47922555).

106712709 is a wasteful number, since it uses less digits than its factorization.

106712709 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 697.

The product of its (nonzero) digits is 5292, while the sum is 33.

The square root of 106712709 is about 10330.1843642793. The cubic root of 106712709 is about 474.3206673110.

The spelling of 106712709 in words is "one hundred six million, seven hundred twelve thousand, seven hundred nine".

Divisors: 1 3 23 41 67 69 123 201 563 943 1541 1689 2747 2829 4623 8241 12949 23083 37721 38847 63181 69249 113163 189543 530909 867583 1546561 1592727 2602749 4639683 35570903 106712709