105556101 has 16 divisors (see below), whose sum is σ = 161140224. Its totient is φ = 60207984.

The previous prime is 105556093. The next prime is 105556103. The reversal of 105556101 is 101655501.

It is not a de Polignac number, because 105556101 - 2³ = 105556093 is a prime.

It is a super-2 number, since 2×105556101² = 22284180916644402, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105556103) 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, 8046 + ... + 16608.

It is an arithmetic number, because the mean of its divisors is an integer number (10071264).

Almost surely, 2^105556101 is an apocalyptic number.

It is an amenable number.

105556101 is a deficient number, since it is larger than the sum of its proper divisors (55584123).

105556101 is an equidigital number, since it uses as much as digits as its factorization.

105556101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9160.

The product of its (nonzero) digits is 750, while the sum is 24.

The square root of 105556101 is about 10274.0498830792. The cubic root of 105556101 is about 472.6007937039.

It can be divided in two parts, 10 and 5556101, that added together give a triangular number (5556111 = T₃₃₃₃).

The spelling of 105556101 in words is "one hundred five million, five hundred fifty-six thousand, one hundred one".