106234249 has 9 divisors (see below), whose sum is σ = 116894631. Its totient is φ = 96473520.

The previous prime is 106234243. The next prime is 106234259. The reversal of 106234249 is 942432601.

It is a happy number.

The square root of 106234249 is 10307.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 5593225 + 100641024 = 2365^2 + 10032^2 .

It is not a de Polignac number, because 106234249 - 2⁹ = 106233737 is a prime.

It is a super-2 number, since 2×106234249² = 22571431321188002, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 106234249.

It is not an unprimeable number, because it can be changed into a prime (106234243) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 112909 + ... + 113845.

Almost surely, 2^106234249 is an apocalyptic number.

106234249 is the 10307-th square number.

106234249 is the 5154-th centered octagonal number.

It is an amenable number.

106234249 is a deficient number, since it is larger than the sum of its proper divisors (10660382).

106234249 is an frugal number, since it uses more digits than its factorization.

106234249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1896 (or 948 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 31.

The cubic root of 106234249 is about 473.6107128528.

The spelling of 106234249 in words is "one hundred six million, two hundred thirty-four thousand, two hundred forty-nine".