105511601 has 6 divisors (see below), whose sum is σ = 114252390. Its totient is φ = 97395168.

The previous prime is 105511559. The next prime is 105511633. The reversal of 105511601 is 106115501.

It can be written as a sum of positive squares in 3 ways, for example, as 141376 + 105370225 = 376^2 + 10265^2 .

It is not a de Polignac number, because 105511601 - 2²⁶ = 38402737 is a prime.

It is a super-2 number, since 2×105511601² = 22265395891166402, 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 (105511661) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 311996 + ... + 312333.

It is an arithmetic number, because the mean of its divisors is an integer number (19042065).

Almost surely, 2^105511601 is an apocalyptic number.

It is an amenable number.

105511601 is a deficient number, since it is larger than the sum of its proper divisors (8740789).

105511601 is an equidigital number, since it uses as much as digits as its factorization.

105511601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624355 (or 624342 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 20.

The square root of 105511601 is about 10271.8840044074. The cubic root of 105511601 is about 472.5343718639.

The spelling of 105511601 in words is "one hundred five million, five hundred eleven thousand, six hundred one".