106292 has 6 divisors (see below), whose sum is σ = 186018. Its totient is φ = 53144.

The previous prime is 106291. The next prime is 106297. The reversal of 106292 is 292601.

It can be written as a sum of positive squares in only one way, i.e., 106276 + 16 = 326^2 + 4^2 .

It is a super-2 number, since 2×106292² = 22595978528, which contains 22 as substring.

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 106292.

It is not an unprimeable number, because it can be changed into a prime (106291) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 13283 + ... + 13290.

It is an arithmetic number, because the mean of its divisors is an integer number (31003).

2¹⁰⁶²⁹² is an apocalyptic number.

It is an amenable number.

106292 is a deficient number, since it is larger than the sum of its proper divisors (79726).

106292 is a wasteful number, since it uses less digits than its factorization.

106292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26577 (or 26575 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

The square root of 106292 is about 326.0245389537. The cubic root of 106292 is about 47.3696518632.

Adding to 106292 its reverse (292601), we get a palindrome (398893).

The spelling of 106292 in words is "one hundred six thousand, two hundred ninety-two".