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106551010493 is a prime number
BaseRepresentation
bin110001100111011101…
…1110110010010111101
3101012000201112011012222
41203032323312102331
53221204024313433
6120540541535125
710461301434314
oct1431673662275
9335021464188
10106551010493
11412082a4264
12187978744a5
13a080ab0905
14522b10327b
152b89414b98
hex18ceef64bd

106551010493 has 2 divisors, whose sum is σ = 106551010494. Its totient is φ = 106551010492.

The previous prime is 106551010471. The next prime is 106551010541. The reversal of 106551010493 is 394010155601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 100243791769 + 6307218724 = 316613^2 + 79418^2 .

It is a cyclic number.

It is not a de Polignac number, because 106551010493 - 234 = 89371141309 is a prime.

It is a super-3 number, since 3×1065510104933 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106551810493) 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, 53275505246 + 53275505247.

It is an arithmetic number, because the mean of its divisors is an integer number (53275505247).

Almost surely, 2106551010493 is an apocalyptic number.

It is an amenable number.

106551010493 is a deficient number, since it is larger than the sum of its proper divisors (1).

106551010493 is an equidigital number, since it uses as much as digits as its factorization.

106551010493 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16200, while the sum is 35.

The spelling of 106551010493 in words is "one hundred six billion, five hundred fifty-one million, ten thousand, four hundred ninety-three".