105357121 has 2 divisors, whose sum is σ = 105357122. Its totient is φ = 105357120.

The previous prime is 105357101. The next prime is 105357157. The reversal of 105357121 is 121753501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 86694721 + 18662400 = 9311^2 + 4320^2 .

It is a cyclic number.

It is not a de Polignac number, because 105357121 - 2²³ = 96968513 is a prime.

It is a super-2 number, since 2×105357121² = 22200245890817282, which contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105357101) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52678560 + 52678561.

It is an arithmetic number, because the mean of its divisors is an integer number (52678561).

Almost surely, 2^105357121 is an apocalyptic number.

It is an amenable number.

105357121 is a deficient number, since it is larger than the sum of its proper divisors (1).

105357121 is an equidigital number, since it uses as much as digits as its factorization.

105357121 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1050, while the sum is 25.

The square root of 105357121 is about 10264.3616947183. The cubic root of 105357121 is about 472.3036460062.

The spelling of 105357121 in words is "one hundred five million, three hundred fifty-seven thousand, one hundred twenty-one".