106159912331 has 18 divisors (see below), whose sum is σ = 119704930596. Its totient is φ = 93366345600.

The previous prime is 106159912321. The next prime is 106159912381. The reversal of 106159912331 is 133219951601.

It is not a de Polignac number, because 106159912331 - 2¹⁸ = 106159650187 is a prime.

It is a super-2 number, since 2×106159912331² (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 (106159912321) 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 in 17 ways as a sum of consecutive naturals, for example, 33497915 + ... + 33501083.

It is an arithmetic number, because the mean of its divisors is an integer number (6650273922).

Almost surely, 2^106159912331 is an apocalyptic number.

106159912331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

106159912331 is a deficient number, since it is larger than the sum of its proper divisors (13545018265).

106159912331 is an frugal number, since it uses more digits than its factorization.

106159912331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6411 (or 3211 counting only the distinct ones).

The product of its (nonzero) digits is 43740, while the sum is 41.

The spelling of 106159912331 in words is "one hundred six billion, one hundred fifty-nine million, nine hundred twelve thousand, three hundred thirty-one".