105757201 has 8 divisors (see below), whose sum is σ = 116515008. Its totient is φ = 95190000.

The previous prime is 105757193. The next prime is 105757231. The reversal of 105757201 is 102757501.

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 105757201 - 2³ = 105757193 is a prime.

It is a super-2 number, since 2×105757201² = 22369171126708802, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 105757201.

It is not an unprimeable number, because it can be changed into a prime (105757231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 46485 + ... + 48706.

It is an arithmetic number, because the mean of its divisors is an integer number (14564376).

Almost surely, 2^105757201 is an apocalyptic number.

105757201 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105757201 is a deficient number, since it is larger than the sum of its proper divisors (10757807).

105757201 is a wasteful number, since it uses less digits than its factorization.

105757201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95303.

The product of its (nonzero) digits is 2450, while the sum is 28.

The square root of 105757201 is about 10283.8320192426. The cubic root of 105757201 is about 472.9007281382.

The spelling of 105757201 in words is "one hundred five million, seven hundred fifty-seven thousand, two hundred one".