105122661 has 32 divisors (see below), whose sum is σ = 165604608. Its totient is φ = 58060800.

The previous prime is 105122603. The next prime is 105122663. The reversal of 105122661 is 166221501.

It is not a de Polignac number, because 105122661 - 2¹³ = 105114469 is a prime.

It is a super-2 number, since 2×105122661² = 22101547711441842, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105122663) 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 31 ways as a sum of consecutive naturals, for example, 149611 + ... + 150311.

It is an arithmetic number, because the mean of its divisors is an integer number (5175144).

Almost surely, 2^105122661 is an apocalyptic number.

It is an amenable number.

105122661 is a deficient number, since it is larger than the sum of its proper divisors (60481947).

105122661 is a wasteful number, since it uses less digits than its factorization.

105122661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 941.

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 105122661 is about 10252.9342629318. The cubic root of 105122661 is about 471.9530335461.

The spelling of 105122661 in words is "one hundred five million, one hundred twenty-two thousand, six hundred sixty-one".