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106343973 = 3223513739
BaseRepresentation
bin1100101011010…
…10111000100101
321102002211111200
412111222320211
5204211001343
614315153113
72430623511
oct625527045
9242084450
10106343973
115503488a
122b745799
1319055238
14101a3141
1595094d3
hex656ae25

106343973 has 12 divisors (see below), whose sum is σ = 160286880. Its totient is φ = 67813416.

The previous prime is 106343947. The next prime is 106343977. The reversal of 106343973 is 379343601.

106343973 is a `hidden beast` number, since 10 + 634 + 3 + 9 + 7 + 3 = 666.

It is a de Polignac number, because none of the positive numbers 2k-106343973 is a prime.

It is a super-2 number, since 2×1063439732 = 22618081186849458, which contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106343977) 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, 256663 + ... + 257076.

It is an arithmetic number, because the mean of its divisors is an integer number (13357240).

Almost surely, 2106343973 is an apocalyptic number.

It is an amenable number.

106343973 is a deficient number, since it is larger than the sum of its proper divisors (53942907).

106343973 is a wasteful number, since it uses less digits than its factorization.

106343973 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 513768 (or 513765 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 36.

The square root of 106343973 is about 10312.3214166355. The cubic root of 106343973 is about 473.7737129569.

The spelling of 106343973 in words is "one hundred six million, three hundred forty-three thousand, nine hundred seventy-three".

Divisors: 1 3 9 23 69 207 513739 1541217 4623651 11815997 35447991 106343973