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106872717 = 3731181907
BaseRepresentation
bin1100101111010…
…11111110001101
321110002200210210
412113223332031
5204324411332
614334353033
72435255160
oct627537615
9243080723
10106872717
1155366066
122b95b779
13191abac3
141029dad7
1595b0ecc
hex65ebf8d

106872717 has 32 divisors (see below), whose sum is σ = 169222144. Its totient is φ = 58708800.

The previous prime is 106872683. The next prime is 106872719. The reversal of 106872717 is 717278601.

It is not a de Polignac number, because 106872717 - 27 = 106872589 is a prime.

It is a super-2 number, since 2×1068727172 = 22843555277924178, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106872719) 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, 117378 + ... + 118284.

It is an arithmetic number, because the mean of its divisors is an integer number (5288192).

Almost surely, 2106872717 is an apocalyptic number.

It is an amenable number.

106872717 is a deficient number, since it is larger than the sum of its proper divisors (62349427).

106872717 is a wasteful number, since it uses less digits than its factorization.

106872717 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1129.

The product of its (nonzero) digits is 32928, while the sum is 39.

The square root of 106872717 is about 10337.9261459927. The cubic root of 106872717 is about 474.5576187811.

The spelling of 106872717 in words is "one hundred six million, eight hundred seventy-two thousand, seven hundred seventeen".

Divisors: 1 3 7 21 31 93 181 217 543 651 907 1267 2721 3801 5611 6349 16833 19047 28117 39277 84351 117831 164167 196819 492501 590457 1149169 3447507 5089177 15267531 35624239 106872717