107133 has 16 divisors (see below), whose sum is σ = 159936. Its totient is φ = 63360.

The previous prime is 107123. The next prime is 107137. The reversal of 107133 is 331701.

107133 = 2² + 3² + ... + 68².

It is not a de Polignac number, because 107133 - 2⁵ = 107101 is a prime.

It is a super-2 number, since 2×107133² = 22954959378, which contains 22 as substring.

107133 is a lucky number.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 107133.

It is not an unprimeable number, because it can be changed into a prime (107137) 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, 1566 + ... + 1632.

It is an arithmetic number, because the mean of its divisors is an integer number (9996).

2¹⁰⁷¹³³ is an apocalyptic number.

107133 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

107133 is a deficient number, since it is larger than the sum of its proper divisors (52803).

107133 is a wasteful number, since it uses less digits than its factorization.

107133 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124.

The product of its (nonzero) digits is 63, while the sum is 15.

The square root of 107133 is about 327.3117779732. The cubic root of 107133 is about 47.4942559998.

Adding to 107133 its reverse (331701), we get a palindrome (438834).

The spelling of 107133 in words is "one hundred seven thousand, one hundred thirty-three".