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106010461637 is a prime number
BaseRepresentation
bin110001010111010110…
…1110100010111000101
3101010122001101102120222
41202232231310113011
53214102134233022
6120411152034125
710442016025163
oct1425655642705
9333561342528
10106010461637
1140a60161973
1218666832945
139cc5acc212
1451b93d4233
152b56c3c242
hex18aeb745c5

106010461637 has 2 divisors, whose sum is σ = 106010461638. Its totient is φ = 106010461636.

The previous prime is 106010461633. The next prime is 106010461673. The reversal of 106010461637 is 736164010601.

Together with next prime (106010461673) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 103703964961 + 2306496676 = 322031^2 + 48026^2 .

It is an emirp because it is prime and its reverse (736164010601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106010461637 - 22 = 106010461633 is a prime.

It is a super-2 number, since 2×1060104616372 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106010461597 and 106010461606.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106010461633) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53005230818 + 53005230819.

It is an arithmetic number, because the mean of its divisors is an integer number (53005230819).

Almost surely, 2106010461637 is an apocalyptic number.

It is an amenable number.

106010461637 is a deficient number, since it is larger than the sum of its proper divisors (1).

106010461637 is an equidigital number, since it uses as much as digits as its factorization.

106010461637 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18144, while the sum is 35.

The spelling of 106010461637 in words is "one hundred six billion, ten million, four hundred sixty-one thousand, six hundred thirty-seven".