106393417642 has 16 divisors (see below), whose sum is σ = 162350023680. Its totient is φ = 52284572928.

The previous prime is 106393417609. The next prime is 106393417643. The reversal of 106393417642 is 246714393601.

It is a super-3 number, since 3×106393417642³ (a number of 34 digits) contains 333 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 = 106393417592 and 106393417601.

It is not an unprimeable number, because it can be changed into a prime (106393417643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1930167 + ... + 1984522.

It is an arithmetic number, because the mean of its divisors is an integer number (10146876480).

Almost surely, 2^106393417642 is an apocalyptic number.

106393417642 is a deficient number, since it is larger than the sum of its proper divisors (55956606038).

106393417642 is a wasteful number, since it uses less digits than its factorization.

106393417642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3914925.

The product of its (nonzero) digits is 653184, while the sum is 46.

The spelling of 106393417642 in words is "one hundred six billion, three hundred ninety-three million, four hundred seventeen thousand, six hundred forty-two".