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106948717 = 1716213881
BaseRepresentation
bin1100101111111…
…10100001101101
321110020120001121
412113332201231
5204334324332
614340140541
72436022561
oct627764155
9243216047
10106948717
1155408177
122b997751
1319207585
14102bd6a1
1595c8797
hex65fe86d

106948717 has 8 divisors (see below), whose sum is σ = 113338872. Its totient is φ = 100569600.

The previous prime is 106948693. The next prime is 106948727. The reversal of 106948717 is 717849601.

It can be written as a sum of positive squares in 4 ways, for example, as 49477156 + 57471561 = 7034^2 + 7581^2 .

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 106948717 - 223 = 98560109 is a prime.

It is a super-2 number, since 2×1069487172 = 22876056135892178, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106948727) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25617 + ... + 29497.

It is an arithmetic number, because the mean of its divisors is an integer number (14167359).

Almost surely, 2106948717 is an apocalyptic number.

106948717 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

106948717 is a deficient number, since it is larger than the sum of its proper divisors (6390155).

106948717 is a wasteful number, since it uses less digits than its factorization.

106948717 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5519.

The product of its (nonzero) digits is 84672, while the sum is 43.

The square root of 106948717 is about 10341.6012783321. The cubic root of 106948717 is about 474.6700822615.

The spelling of 106948717 in words is "one hundred six million, nine hundred forty-eight thousand, seven hundred seventeen".

Divisors: 1 17 1621 3881 27557 65977 6291101 106948717