105261101 has 16 divisors (see below), whose sum is σ = 117676800. Its totient is φ = 93350400.

The previous prime is 105261061. The next prime is 105261103. The reversal of 105261101 is 101162501.

It is not a de Polignac number, because 105261101 - 2¹⁴ = 105244717 is a prime.

It is a super-2 number, since 2×105261101² = 22159798767464402, 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 105261101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105261103) 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, 76661 + ... + 78021.

It is an arithmetic number, because the mean of its divisors is an integer number (7354800).

Almost surely, 2^105261101 is an apocalyptic number.

105261101 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

105261101 is a deficient number, since it is larger than the sum of its proper divisors (12415699).

105261101 is a wasteful number, since it uses less digits than its factorization.

105261101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1540.

The product of its (nonzero) digits is 60, while the sum is 17.

The square root of 105261101 is about 10259.6832797119. The cubic root of 105261101 is about 472.1601202537.

The spelling of 105261101 in words is "one hundred five million, two hundred sixty-one thousand, one hundred one".