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106936878767 is a prime number
BaseRepresentation
bin110001110010111101…
…1110100011010101111
3101020000121121021222112
41203211323310122233
53223001320110032
6121043124234235
710503665320565
oct1434573643257
9336017537875
10106936878767
1141396097864
1218884b3b97b
13a112a14b34
145266469a35
152bad2361b2
hex18e5ef46af

106936878767 has 2 divisors, whose sum is σ = 106936878768. Its totient is φ = 106936878766.

The previous prime is 106936878703. The next prime is 106936878809. The reversal of 106936878767 is 767878639601.

It is a strong prime.

It is an emirp because it is prime and its reverse (767878639601) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 106936878767 - 26 = 106936878703 is a prime.

It is a super-2 number, since 2×1069368787672 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 106936878697 and 106936878706.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (106936878967) 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, 53468439383 + 53468439384.

It is an arithmetic number, because the mean of its divisors is an integer number (53468439384).

Almost surely, 2106936878767 is an apocalyptic number.

106936878767 is a deficient number, since it is larger than the sum of its proper divisors (1).

106936878767 is an equidigital number, since it uses as much as digits as its factorization.

106936878767 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 128024064, while the sum is 68.

The spelling of 106936878767 in words is "one hundred six billion, nine hundred thirty-six million, eight hundred seventy-eight thousand, seven hundred sixty-seven".