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106744377037 is a prime number
BaseRepresentation
bin110001101101001110…
…1011110111011001101
3101012112012101012020211
41203122131132323031
53222103030031122
6121012050242421
710466140143214
oct1433235367315
9335465335224
10106744377037
11412a7466421
1218830586411
13a0b1b8479c
145248a7a07b
152b9b3ad877
hex18da75eecd

106744377037 has 2 divisors, whose sum is σ = 106744377038. Its totient is φ = 106744377036.

The previous prime is 106744376993. The next prime is 106744377041. The reversal of 106744377037 is 730773447601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 68808634596 + 37935742441 = 262314^2 + 194771^2 .

It is a cyclic number.

It is not a de Polignac number, because 106744377037 - 231 = 104596893389 is a prime.

It is a super-2 number, since 2×1067443770372 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106744377067) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53372188518 + 53372188519.

It is an arithmetic number, because the mean of its divisors is an integer number (53372188519).

Almost surely, 2106744377037 is an apocalyptic number.

It is an amenable number.

106744377037 is a deficient number, since it is larger than the sum of its proper divisors (1).

106744377037 is an equidigital number, since it uses as much as digits as its factorization.

106744377037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2074464, while the sum is 49.

The spelling of 106744377037 in words is "one hundred six billion, seven hundred forty-four million, three hundred seventy-seven thousand, thirty-seven".