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106682736157 is a prime number
BaseRepresentation
bin110001101011011001…
…0010101111000011101
3101012100220101111212021
41203112302111320131
53221441240024112
6121002005140141
710464461203204
oct1432662257035
9335326344767
10106682736157
1141275694748
12188139ba651
13a0a21819aa
1452407d223b
152b95c84907
hex18d6c95e1d

106682736157 has 2 divisors, whose sum is σ = 106682736158. Its totient is φ = 106682736156.

The previous prime is 106682736151. The next prime is 106682736203. The reversal of 106682736157 is 751637286601.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 93550951321 + 13131784836 = 305861^2 + 114594^2 .

It is an emirp because it is prime and its reverse (751637286601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106682736157 - 227 = 106548518429 is a prime.

It is a super-2 number, since 2×1066827361572 (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 (106682736151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53341368078 + 53341368079.

It is an arithmetic number, because the mean of its divisors is an integer number (53341368079).

Almost surely, 2106682736157 is an apocalyptic number.

It is an amenable number.

106682736157 is a deficient number, since it is larger than the sum of its proper divisors (1).

106682736157 is an equidigital number, since it uses as much as digits as its factorization.

106682736157 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2540160, while the sum is 52.

The spelling of 106682736157 in words is "one hundred six billion, six hundred eighty-two million, seven hundred thirty-six thousand, one hundred fifty-seven".