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106143417 = 3237318749
BaseRepresentation
bin1100101001110…
…01111010111001
321101201122101200
412110321322321
5204133042132
614311004413
72426130012
oct624717271
9241648350
10106143417
1154a08136
122b669709
1318cb4b73
1410150009
1594b9d7c
hex6539eb9

106143417 has 12 divisors (see below), whose sum is σ = 157462500. Its totient is φ = 68849568.

The previous prime is 106143409. The next prime is 106143439. The reversal of 106143417 is 714341601.

It is a happy number.

106143417 is a `hidden beast` number, since 1 + 0 + 614 + 3 + 41 + 7 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 47941776 + 58201641 = 6924^2 + 7629^2 .

It is not a de Polignac number, because 106143417 - 23 = 106143409 is a prime.

It is a super-2 number, since 2×1061434172 = 22532849944871778, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106143467) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 159042 + ... + 159707.

It is an arithmetic number, because the mean of its divisors is an integer number (13121875).

Almost surely, 2106143417 is an apocalyptic number.

It is an amenable number.

106143417 is a deficient number, since it is larger than the sum of its proper divisors (51319083).

106143417 is a wasteful number, since it uses less digits than its factorization.

106143417 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318792 (or 318789 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 106143417 is about 10302.5927319292. The cubic root of 106143417 is about 473.4756927591.

The spelling of 106143417 in words is "one hundred six million, one hundred forty-three thousand, four hundred seventeen".

Divisors: 1 3 9 37 111 333 318749 956247 2868741 11793713 35381139 106143417