105355100121 has 32 divisors (see below), whose sum is σ = 147559587840. Its totient is φ = 66735011904.

The previous prime is 105355100119. The next prime is 105355100171. The reversal of 105355100121 is 121001553501.

It is not a de Polignac number, because 105355100121 - 2¹ = 105355100119 is a prime.

It is a super-2 number, since 2×105355100121² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105355100091 and 105355100100.

It is not an unprimeable number, because it can be changed into a prime (105355100171) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26881200 + ... + 26885118.

It is an arithmetic number, because the mean of its divisors is an integer number (4611237120).

Almost surely, 2^105355100121 is an apocalyptic number.

It is an amenable number.

105355100121 is a deficient number, since it is larger than the sum of its proper divisors (42204487719).

105355100121 is a wasteful number, since it uses less digits than its factorization.

105355100121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6445.

The product of its (nonzero) digits is 750, while the sum is 24.

Adding to 105355100121 its reverse (121001553501), we get a palindrome (226356653622).

The spelling of 105355100121 in words is "one hundred five billion, three hundred fifty-five million, one hundred thousand, one hundred twenty-one".