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106416701 = 1943130253
BaseRepresentation
bin1100101011111…
…00101000111101
321102020112021022
412111330220331
5204220313301
614320513525
72431345526
oct625745075
9242215238
10106416701
1155084496
122b77b8a5
131907c381
14101c184d
159520d1b
hex657ca3d

106416701 has 8 divisors (see below), whose sum is σ = 114623520. Its totient is φ = 98470512.

The previous prime is 106416697. The next prime is 106416763. The reversal of 106416701 is 107614601.

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 106416701 - 22 = 106416697 is a prime.

It is a super-4 number, since 4×1064167014 (a number of 33 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106416781) 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, 64310 + ... + 65943.

It is an arithmetic number, because the mean of its divisors is an integer number (14327940).

Almost surely, 2106416701 is an apocalyptic number.

It is an amenable number.

106416701 is a deficient number, since it is larger than the sum of its proper divisors (8206819).

106416701 is a wasteful number, since it uses less digits than its factorization.

106416701 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130315.

The product of its (nonzero) digits is 1008, while the sum is 26.

The square root of 106416701 is about 10315.8470810690. The cubic root of 106416701 is about 473.8816920042.

The spelling of 106416701 in words is "one hundred six million, four hundred sixteen thousand, seven hundred one".

Divisors: 1 19 43 817 130253 2474807 5600879 106416701