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106702117 = 3723312377
BaseRepresentation
bin1100101110000…
…10010100100101
321102210000210021
412113002110211
5204303431432
614330555141
72433644614
oct627022445
9242700707
10106702117
1155259975
122b898ab1
131914c262
141025787b
15957a697
hex65c2525

106702117 has 8 divisors (see below), whose sum is σ = 110065176. Its totient is φ = 103364352.

The previous prime is 106702111. The next prime is 106702139. The reversal of 106702117 is 711207601.

It can be written as a sum of positive squares in 4 ways, for example, as 6081156 + 100620961 = 2466^2 + 10031^2 .

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 106702117 - 23 = 106702109 is a prime.

It is a super-2 number, since 2×1067021172 = 22770683544563378, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 106702091 and 106702100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106702111) 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, 2433 + ... + 14809.

It is an arithmetic number, because the mean of its divisors is an integer number (13758147).

Almost surely, 2106702117 is an apocalyptic number.

It is an amenable number.

106702117 is a deficient number, since it is larger than the sum of its proper divisors (3363059).

106702117 is a wasteful number, since it uses less digits than its factorization.

106702117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12647.

The product of its (nonzero) digits is 588, while the sum is 25.

The square root of 106702117 is about 10329.6716791968. The cubic root of 106702117 is about 474.3049735516.

Adding to 106702117 its reverse (711207601), we get a palindrome (817909718).

The spelling of 106702117 in words is "one hundred six million, seven hundred two thousand, one hundred seventeen".

Divisors: 1 37 233 8621 12377 457949 2883841 106702117