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106718131 = 1343190909
BaseRepresentation
bin1100101110001…
…10001110110011
321102210211202101
412113012032303
5204304440011
614331201231
72434042402
oct627061663
9242724671
10106718131
115526aa03
122b8a6217
1319156630
141025d639
1595802c1
hex65c63b3

106718131 has 8 divisors (see below), whose sum is σ = 117600560. Its totient is φ = 96217632.

The previous prime is 106718113. The next prime is 106718149. The reversal of 106718131 is 131817601.

It is an interprime number because it is at equal distance from previous prime (106718113) and next prime (106718149).

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 106718131 - 25 = 106718099 is a prime.

It is a super-2 number, since 2×1067181312 = 22777518968266322, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 106718131.

It is not an unprimeable number, because it can be changed into a prime (106718111) 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, 94896 + ... + 96013.

It is an arithmetic number, because the mean of its divisors is an integer number (14700070).

Almost surely, 2106718131 is an apocalyptic number.

106718131 is a deficient number, since it is larger than the sum of its proper divisors (10882429).

106718131 is a wasteful number, since it uses less digits than its factorization.

106718131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190965.

The product of its (nonzero) digits is 1008, while the sum is 28.

The square root of 106718131 is about 10330.4467957586. The cubic root of 106718131 is about 474.3287004782.

The spelling of 106718131 in words is "one hundred six million, seven hundred eighteen thousand, one hundred thirty-one".

Divisors: 1 13 43 559 190909 2481817 8209087 106718131