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106938285645157 is a prime number
BaseRepresentation
bin11000010100001010000010…
…100001110101110101100101
3112000122012101222211110011221
4120110022002201311311211
5103004034102111121112
61015234434211300341
731345015260064621
oct3024120241656545
9460565358743157
10106938285645157
113108a2aa40a27a
12bbb14335aa6b1
134789310ab0035
141c59baaa14181
15c56a9becde07
hex614282875d65

106938285645157 has 2 divisors, whose sum is σ = 106938285645158. Its totient is φ = 106938285645156.

The previous prime is 106938285645143. The next prime is 106938285645287. The reversal of 106938285645157 is 751546582839601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 104029575861121 + 2908709784036 = 10199489^2 + 1705494^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-106938285645157 is a prime.

It is a super-2 number, since 2×1069382856451572 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106938285640157) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53469142822578 + 53469142822579.

It is an arithmetic number, because the mean of its divisors is an integer number (53469142822579).

It is a 3-persistent number, because k⋅106938285645157 is pandigital for 1 ≤ k ≤ 3, but not for k = 4.

Almost surely, 2106938285645157 is an apocalyptic number.

It is an amenable number.

106938285645157 is a deficient number, since it is larger than the sum of its proper divisors (1).

106938285645157 is an equidigital number, since it uses as much as digits as its factorization.

106938285645157 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 435456000, while the sum is 70.

The spelling of 106938285645157 in words is "one hundred six trillion, nine hundred thirty-eight billion, two hundred eighty-five million, six hundred forty-five thousand, one hundred fifty-seven".