105101342331 has 16 divisors (see below), whose sum is σ = 143136297984. Its totient is φ = 68567382144.

The previous prime is 105101342299. The next prime is 105101342341. The reversal of 105101342331 is 133243101501.

It is not a de Polignac number, because 105101342331 - 2⁵ = 105101342299 is a prime.

It is a super-3 number, since 3×105101342331³ (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (105101342341) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1070691 + ... + 1164723.

It is an arithmetic number, because the mean of its divisors is an integer number (8946018624).

Almost surely, 2^105101342331 is an apocalyptic number.

105101342331 is a deficient number, since it is larger than the sum of its proper divisors (38034955653).

105101342331 is an equidigital number, since it uses as much as digits as its factorization.

105101342331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102010.

The product of its (nonzero) digits is 1080, while the sum is 24.

Adding to 105101342331 its reverse (133243101501), we get a palindrome (238344443832).

The spelling of 105101342331 in words is "one hundred five billion, one hundred one million, three hundred forty-two thousand, three hundred thirty-one".