107092 has 12 divisors (see below), whose sum is σ = 192276. Its totient is φ = 52160.

The previous prime is 107089. The next prime is 107099. The reversal of 107092 is 290701.

It can be written as a sum of positive squares in 2 ways, for example, as 13456 + 93636 = 116^2 + 306^2 .

It is a super-2 number, since 2×107092² = 22937392928, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (107099) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 163 + ... + 490.

It is an arithmetic number, because the mean of its divisors is an integer number (16023).

2¹⁰⁷⁰⁹² is an apocalyptic number.

107092 is the 164-th decagonal number.

It is an amenable number.

107092 is a deficient number, since it is larger than the sum of its proper divisors (85184).

107092 is a wasteful number, since it uses less digits than its factorization.

107092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 698 (or 696 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 19.

The square root of 107092 is about 327.2491405642. The cubic root of 107092 is about 47.4881965131.

Adding to 107092 its reverse (290701), we get a palindrome (397793).

The spelling of 107092 in words is "one hundred seven thousand, ninety-two".