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106956977 is a prime number
BaseRepresentation
bin1100110000000…
…00100010110001
321110020222101112
412120000202301
5204340110402
614340243105
72436055631
oct630004261
9243228345
10106956977
11554133a6
122b9a0495
131920b26a
14102c26c1
1595cae52
hex66008b1

106956977 has 2 divisors, whose sum is σ = 106956978. Its totient is φ = 106956976.

The previous prime is 106956937. The next prime is 106957001. The reversal of 106956977 is 779659601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 95335696 + 11621281 = 9764^2 + 3409^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-106956977 is a prime.

It is a super-2 number, since 2×1069569772 = 22879589857957058, which contains 22 as substring.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (106956917) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53478488 + 53478489.

It is an arithmetic number, because the mean of its divisors is an integer number (53478489).

Almost surely, 2106956977 is an apocalyptic number.

It is an amenable number.

106956977 is a deficient number, since it is larger than the sum of its proper divisors (1).

106956977 is an equidigital number, since it uses as much as digits as its factorization.

106956977 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 714420, while the sum is 50.

The square root of 106956977 is about 10342.0006285051. Note that the first 3 decimals coincide. The cubic root of 106956977 is about 474.6823020558.

The spelling of 106956977 in words is "one hundred six million, nine hundred fifty-six thousand, nine hundred seventy-seven".