106657273 has 8 divisors (see below), whose sum is σ = 113318280. Its totient is φ = 100195200.

The previous prime is 106657261. The next prime is 106657289. The reversal of 106657273 is 372756601.

It can be written as a sum of positive squares in 4 ways, for example, as 44515584 + 62141689 = 6672^2 + 7883^2 .

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-106657273 is a prime.

It is a super-2 number, since 2×106657273² = 22751547767593058, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (106657373) 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, 48628 + ... + 50773.

It is an arithmetic number, because the mean of its divisors is an integer number (14164785).

Almost surely, 2^106657273 is an apocalyptic number.

It is an amenable number.

106657273 is a deficient number, since it is larger than the sum of its proper divisors (6661007).

106657273 is an equidigital number, since it uses as much as digits as its factorization.

106657273 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99467.

The product of its (nonzero) digits is 52920, while the sum is 37.

The square root of 106657273 is about 10327.5008109416. The cubic root of 106657273 is about 474.2385184108.

The spelling of 106657273 in words is "one hundred six million, six hundred fifty-seven thousand, two hundred seventy-three".