105121661 has 16 divisors (see below), whose sum is σ = 116000640. Its totient is φ = 94818240.

The previous prime is 105121633. The next prime is 105121673. The reversal of 105121661 is 166121501.

It is a cyclic number.

It is not a de Polignac number, because 105121661 - 2¹⁴ = 105105277 is a prime.

It is a super-2 number, since 2×105121661² = 22101127222797842, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105121691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 127631 + ... + 128451.

It is an arithmetic number, because the mean of its divisors is an integer number (7250040).

Almost surely, 2^105121661 is an apocalyptic number.

It is an amenable number.

105121661 is a deficient number, since it is larger than the sum of its proper divisors (10878979).

105121661 is a wasteful number, since it uses less digits than its factorization.

105121661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1156.

The product of its (nonzero) digits is 360, while the sum is 23.

The square root of 105121661 is about 10252.8854962883. The cubic root of 105121661 is about 471.9515370260.

The spelling of 105121661 in words is "one hundred five million, one hundred twenty-one thousand, six hundred sixty-one".