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106106101081 = 129313820537
BaseRepresentation
bin110001011010001101…
…0101001110101011001
3101010212201100102020121
41202310122221311121
53214301130213311
6120424445553241
710444256656321
oct1426432516531
9333781312217
10106106101081
1140aaa145232
1218692875821
13a00c876cc6
1451c7dac281
152b6032eb71
hex18b46a9d59

106106101081 has 4 divisors (see below), whose sum is σ = 106107050932. Its totient is φ = 106105151232.

The previous prime is 106106101051. The next prime is 106106101147. The reversal of 106106101081 is 180101601601.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length, and also an emirpimes, since its reverse is a distinct semiprime: 180101601601 = 1729910411099.

It can be written as a sum of positive squares in 2 ways, for example, as 42195733056 + 63910368025 = 205416^2 + 252805^2 .

It is a cyclic number.

It is not a de Polignac number, because 106106101081 - 27 = 106106100953 is a prime.

It is a super-2 number, since 2×1061061010812 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106106101051) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 280956 + ... + 539581.

It is an arithmetic number, because the mean of its divisors is an integer number (26526762733).

Almost surely, 2106106101081 is an apocalyptic number.

It is an amenable number.

106106101081 is a deficient number, since it is larger than the sum of its proper divisors (949851).

106106101081 is an equidigital number, since it uses as much as digits as its factorization.

106106101081 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949850.

The product of its (nonzero) digits is 288, while the sum is 25.

Adding to 106106101081 its reverse (180101601601), we get a palindrome (286207702682).

The spelling of 106106101081 in words is "one hundred six billion, one hundred six million, one hundred one thousand, eighty-one".

Divisors: 1 129313 820537 106106101081