106513742673 has 48 divisors (see below), whose sum is σ = 172631886336. Its totient is φ = 62839445760.

The previous prime is 106513742623. The next prime is 106513742677. The reversal of 106513742673 is 376247315601.

106513742673 is a `hidden beast` number, since 1 + 0 + 6 + 513 + 74 + 2 + 67 + 3 = 666.

It is not a de Polignac number, because 106513742673 - 2⁹ = 106513742161 is a prime.

It is a super-3 number, since 3×106513742673³ (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 (106513742677) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 250861 + ... + 525317.

It is an arithmetic number, because the mean of its divisors is an integer number (3596497632).

Almost surely, 2^106513742673 is an apocalyptic number.

106513742673 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

106513742673 is a deficient number, since it is larger than the sum of its proper divisors (66118143663).

106513742673 is a wasteful number, since it uses less digits than its factorization.

106513742673 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274614 (or 274611 counting only the distinct ones).

The product of its (nonzero) digits is 635040, while the sum is 45.

The spelling of 106513742673 in words is "one hundred six billion, five hundred thirteen million, seven hundred forty-two thousand, six hundred seventy-three".