106257321 has 12 divisors (see below), whose sum is σ = 153616320. Its totient is φ = 70776600.

The previous prime is 106257301. The next prime is 106257323. The reversal of 106257321 is 123752601.

It is a happy number.

106257321 is a `hidden beast` number, since 1 + 0 + 625 + 7 + 32 + 1 = 666.

It is not a de Polignac number, because 106257321 - 2¹¹ = 106255273 is a prime.

It is a super-2 number, since 2×106257321² = 22581236532194082, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (106257323) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7396 + ... + 16346.

It is an arithmetic number, because the mean of its divisors is an integer number (12801360).

Almost surely, 2^106257321 is an apocalyptic number.

It is an amenable number.

106257321 is a deficient number, since it is larger than the sum of its proper divisors (47358999).

106257321 is a wasteful number, since it uses less digits than its factorization.

106257321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10276 (or 10273 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 106257321 is about 10308.1191785893. The cubic root of 106257321 is about 473.6449966973.

The spelling of 106257321 in words is "one hundred six million, two hundred fifty-seven thousand, three hundred twenty-one".