106264501300331 has 24 divisors (see below), whose sum is σ = 118071456876912. Its totient is φ = 95560082956800.

The previous prime is 106264501300301. The next prime is 106264501300333. The reversal of 106264501300331 is 133003105462601.

It is not a de Polignac number, because 106264501300331 - 2¹⁸ = 106264501038187 is a prime.

It is a super-5 number, since 5×106264501300331⁵ (a number of 71 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 106264501300291 and 106264501300300.

It is not an unprimeable number, because it can be changed into a prime (106264501300333) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6634430 + ... + 16017011.

It is an arithmetic number, because the mean of its divisors is an integer number (4919644036538).

Almost surely, 2^{106264501300331} is an apocalyptic number.

106264501300331 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

106264501300331 is a deficient number, since it is larger than the sum of its proper divisors (11806955576581).

106264501300331 is a wasteful number, since it uses less digits than its factorization.

106264501300331 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22651883 (or 22651872 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 35.

Adding to 106264501300331 its reverse (133003105462601), we get a palindrome (239267606762932).

The spelling of 106264501300331 in words is "one hundred six trillion, two hundred sixty-four billion, five hundred one million, three hundred thousand, three hundred thirty-one".