106454331634313 has 12 divisors (see below), whose sum is σ = 115273917951948. Its totient is φ = 98264783073600.

The previous prime is 106454331634219. The next prime is 106454331634337. The reversal of 106454331634313 is 313436133454601.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 3849648050704 + 102604683583609 = 1962052^2 + 10129397^2 .

It is not a de Polignac number, because 106454331634313 - 2⁴² = 102056285123209 is a prime.

It is a super-2 number, since 2×106454331634313² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106454331634613) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20309963 + ... + 25008063.

It is an arithmetic number, because the mean of its divisors is an integer number (9606159829329).

Almost surely, 2^{106454331634313} is an apocalyptic number.

106454331634313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

106454331634313 is a deficient number, since it is larger than the sum of its proper divisors (8819586317635).

106454331634313 is a wasteful number, since it uses less digits than its factorization.

106454331634313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4832204 (or 4832191 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 47.

The spelling of 106454331634313 in words is "one hundred six trillion, four hundred fifty-four billion, three hundred thirty-one million, six hundred thirty-four thousand, three hundred thirteen".