105984257 has 8 divisors (see below), whose sum is σ = 109892352. Its totient is φ = 102106800.

The previous prime is 105984211. The next prime is 105984269. The reversal of 105984257 is 752489501.

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 105984257 - 2²² = 101789953 is a prime.

It is a super-2 number, since 2×105984257² = 22465325463684098, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105984157) 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, 494 + ... + 14567.

It is an arithmetic number, because the mean of its divisors is an integer number (13736544).

Almost surely, 2^105984257 is an apocalyptic number.

It is an amenable number.

105984257 is a deficient number, since it is larger than the sum of its proper divisors (3908095).

105984257 is a wasteful number, since it uses less digits than its factorization.

105984257 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15319.

The product of its (nonzero) digits is 100800, while the sum is 41.

The square root of 105984257 is about 10294.8655649309. The cubic root of 105984257 is about 473.2389184936.

The spelling of 105984257 in words is "one hundred five million, nine hundred eighty-four thousand, two hundred fifty-seven".