107742673 has 16 divisors (see below), whose sum is σ = 116121600. Its totient is φ = 99660240.

The previous prime is 107742667. The next prime is 107742683. The reversal of 107742673 is 376247701.

It is a cyclic number.

It is not a de Polignac number, because 107742673 - 2¹⁷ = 107611601 is a prime.

It is a super-3 number, since 3×107742673³ (a number of 25 digits) contains 333 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (107742623) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 249768 + ... + 250198.

It is an arithmetic number, because the mean of its divisors is an integer number (7257600).

Almost surely, 2^107742673 is an apocalyptic number.

It is an amenable number.

107742673 is a deficient number, since it is larger than the sum of its proper divisors (8378927).

107742673 is a wasteful number, since it uses less digits than its factorization.

107742673 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 732.

The product of its (nonzero) digits is 49392, while the sum is 37.

The square root of 107742673 is about 10379.9168108420. The cubic root of 107742673 is about 475.8417915125.

The spelling of 107742673 in words is "one hundred seven million, seven hundred forty-two thousand, six hundred seventy-three".