105557001 has 16 divisors (see below), whose sum is σ = 157284288. Its totient is φ = 62412800.

The previous prime is 105556981. The next prime is 105557021. The reversal of 105557001 is 100755501.

It is an interprime number because it is at equal distance from previous prime (105556981) and next prime (105557021).

It is a cyclic number.

It is not a de Polignac number, because 105557001 - 2¹⁰ = 105555977 is a prime.

It is a super-2 number, since 2×105557001² = 22284560920228002, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105557021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37656 + ... + 40361.

It is an arithmetic number, because the mean of its divisors is an integer number (9830268).

Almost surely, 2^105557001 is an apocalyptic number.

105557001 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105557001 is a deficient number, since it is larger than the sum of its proper divisors (51727287).

105557001 is a wasteful number, since it uses less digits than its factorization.

105557001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78072.

The product of its (nonzero) digits is 875, while the sum is 24.

The square root of 105557001 is about 10274.0936826564. The cubic root of 105557001 is about 472.6021368743.

The spelling of 105557001 in words is "one hundred five million, five hundred fifty-seven thousand, one".