106457261 has 8 divisors (see below), whose sum is σ = 109423800. Its totient is φ = 103530240.

The previous prime is 106457249. The next prime is 106457321. The reversal of 106457261 is 162754601.

It can be written as a sum of positive squares in 4 ways, for example, as 9060100 + 97397161 = 3010^2 + 9869^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 106457261 - 2²² = 102262957 is a prime.

It is a super-2 number, since 2×106457261² = 22666296839244242, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106454261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4376 + ... + 15233.

It is an arithmetic number, because the mean of its divisors is an integer number (13677975).

Almost surely, 2^106457261 is an apocalyptic number.

It is an amenable number.

106457261 is a deficient number, since it is larger than the sum of its proper divisors (2966539).

106457261 is an equidigital number, since it uses as much as digits as its factorization.

106457261 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19759.

The product of its (nonzero) digits is 10080, while the sum is 32.

The square root of 106457261 is about 10317.8128011706. The cubic root of 106457261 is about 473.9418899488.

The spelling of 106457261 in words is "one hundred six million, four hundred fifty-seven thousand, two hundred sixty-one".