106074842513 has 8 divisors (see below), whose sum is σ = 106175005800. Its totient is φ = 105974719488.

The previous prime is 106074842509. The next prime is 106074842543. The reversal of 106074842513 is 315248470601.

It can be written as a sum of positive squares in 4 ways, for example, as 22133107984 + 83941734529 = 148772^2 + 289727^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 106074842513 - 2² = 106074842509 is a prime.

It is a super-2 number, since 2×106074842513² (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 (106074842543) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8085203 + ... + 8098311.

It is an arithmetic number, because the mean of its divisors is an integer number (13271875725).

Almost surely, 2^106074842513 is an apocalyptic number.

It is an amenable number.

106074842513 is a deficient number, since it is larger than the sum of its proper divisors (100163287).

106074842513 is a wasteful number, since it uses less digits than its factorization.

106074842513 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20131.

The product of its (nonzero) digits is 161280, while the sum is 41.

The spelling of 106074842513 in words is "one hundred six billion, seventy-four million, eight hundred forty-two thousand, five hundred thirteen".