105362121 has 16 divisors (see below), whose sum is σ = 142737408. Its totient is φ = 69123600.

The previous prime is 105362119. The next prime is 105362143. The reversal of 105362121 is 121263501.

It is not a de Polignac number, because 105362121 - 2¹ = 105362119 is a prime.

It is a super-2 number, since 2×105362121² = 22202353083237282, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (105362111) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 48856 + ... + 50966.

It is an arithmetic number, because the mean of its divisors is an integer number (8921088).

Almost surely, 2^105362121 is an apocalyptic number.

It is an amenable number.

105362121 is a deficient number, since it is larger than the sum of its proper divisors (37375287).

105362121 is a wasteful number, since it uses less digits than its factorization.

105362121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2372.

The product of its (nonzero) digits is 360, while the sum is 21.

The square root of 105362121 is about 10264.6052530041. The cubic root of 105362121 is about 472.3111173597.

The spelling of 105362121 in words is "one hundred five million, three hundred sixty-two thousand, one hundred twenty-one".