105605157 has 8 divisors (see below), whose sum is σ = 160922176. Its totient is φ = 60345792.

The previous prime is 105605147. The next prime is 105605191. The reversal of 105605157 is 751506501.

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

It is not a de Polignac number, because 105605157 - 2¹¹ = 105603109 is a prime.

It is a super-2 number, since 2×105605157² = 22304898369989298, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105605107) 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, 2514388 + ... + 2514429.

It is an arithmetic number, because the mean of its divisors is an integer number (20115272).

Almost surely, 2^105605157 is an apocalyptic number.

It is an amenable number.

105605157 is a deficient number, since it is larger than the sum of its proper divisors (55317019).

105605157 is an equidigital number, since it uses as much as digits as its factorization.

105605157 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5028827.

The product of its (nonzero) digits is 5250, while the sum is 30.

The square root of 105605157 is about 10276.4369798097. The cubic root of 105605157 is about 472.6739943172.

The spelling of 105605157 in words is "one hundred five million, six hundred five thousand, one hundred fifty-seven".