105249337 has 8 divisors (see below), whose sum is σ = 110325600. Its totient is φ = 100292640.

The previous prime is 105249307. The next prime is 105249359. The reversal of 105249337 is 733942501.

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-105249337 is a prime.

It is a super-2 number, since 2×105249337² = 22154845877879138, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105249307) 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, 28087 + ... + 31612.

It is an arithmetic number, because the mean of its divisors is an integer number (13790700).

Almost surely, 2^105249337 is an apocalyptic number.

It is an amenable number.

105249337 is a deficient number, since it is larger than the sum of its proper divisors (5076263).

105249337 is an equidigital number, since it uses as much as digits as its factorization.

105249337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59783.

The product of its (nonzero) digits is 22680, while the sum is 34.

The square root of 105249337 is about 10259.1099516479. The cubic root of 105249337 is about 472.1425300311.

The spelling of 105249337 in words is "one hundred five million, two hundred forty-nine thousand, three hundred thirty-seven".