106881258263 has 16 divisors (see below), whose sum is σ = 122195314080. Its totient is φ = 92611040256.

The previous prime is 106881258227. The next prime is 106881258293. The reversal of 106881258263 is 362852188601.

It is a cyclic number.

It is not a de Polignac number, because 106881258263 - 2⁶ = 106881258199 is a prime.

It is a super-2 number, since 2×106881258263² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106881258203) 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 15 ways as a sum of consecutive naturals, for example, 554270 + ... + 721787.

It is an arithmetic number, because the mean of its divisors is an integer number (7637207130).

Almost surely, 2^106881258263 is an apocalyptic number.

106881258263 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

106881258263 is a deficient number, since it is larger than the sum of its proper divisors (15314055817).

106881258263 is a wasteful number, since it uses less digits than its factorization.

106881258263 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1276466.

The product of its (nonzero) digits is 1105920, while the sum is 50.

The spelling of 106881258263 in words is "one hundred six billion, eight hundred eighty-one million, two hundred fifty-eight thousand, two hundred sixty-three".