106137 has 8 divisors (see below), whose sum is σ = 157280. Its totient is φ = 70740.

The previous prime is 106129. The next prime is 106163. The reversal of 106137 is 731601.

It is not a de Polignac number, because 106137 - 2³ = 106129 is a prime.

It is a super-2 number, since 2×106137² = 22530125538, which contains 22 as substring.

It is a Duffinian number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 106137.

It is not an unprimeable number, because it can be changed into a prime (106187) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1939 + ... + 1992.

It is an arithmetic number, because the mean of its divisors is an integer number (19660).

2¹⁰⁶¹³⁷ is an apocalyptic number.

It is an amenable number.

106137 is a deficient number, since it is larger than the sum of its proper divisors (51143).

106137 is an equidigital number, since it uses as much as digits as its factorization.

106137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3940 (or 3934 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 106137 is about 325.7867400617. The cubic root of 106137 is about 47.3466151094.

Adding to 106137 its reverse (731601), we get a palindrome (837738).

It can be divided in two parts, 106 and 137, that added together give a 5-th power (243 = 3⁵).

The spelling of 106137 in words is "one hundred six thousand, one hundred thirty-seven".