106268051304327 has 48 divisors (see below), whose sum is σ = 164907554434560. Its totient is φ = 60615067096320.

The previous prime is 106268051304299. The next prime is 106268051304407. The reversal of 106268051304327 is 723403150862601.

It is not a de Polignac number, because 106268051304327 - 2⁶ = 106268051304263 is a prime.

It is a super-2 number, since 2×106268051304327² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106268051306327) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 341341378 + ... + 341652560.

It is an arithmetic number, because the mean of its divisors is an integer number (3435574050720).

Almost surely, 2^{106268051304327} is an apocalyptic number.

106268051304327 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

106268051304327 is a deficient number, since it is larger than the sum of its proper divisors (58639503130233).

106268051304327 is a wasteful number, since it uses less digits than its factorization.

106268051304327 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 366564 (or 366553 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 48.

The spelling of 106268051304327 in words is "one hundred six trillion, two hundred sixty-eight billion, fifty-one million, three hundred four thousand, three hundred twenty-seven".