105421110250113 has 160 divisors (see below), whose sum is σ = 189733029666048. Its totient is φ = 57080769984000.

The previous prime is 105421110250097. The next prime is 105421110250163. The reversal of 105421110250113 is 311052011124501.

105421110250113 is a `hidden beast` number, since 1 + 0 + 5 + 42 + 1 + 1 + 102 + 501 + 13 = 666.

It is not a de Polignac number, because 105421110250113 - 2⁴ = 105421110250097 is a prime.

It is a super-2 number, since 2×105421110250113² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (105421110250163) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 128843806 + ... + 129659432.

Almost surely, 2^{105421110250113} is an apocalyptic number.

It is an amenable number.

105421110250113 is a deficient number, since it is larger than the sum of its proper divisors (84311919415935).

105421110250113 is a wasteful number, since it uses less digits than its factorization.

105421110250113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815845 (or 815836 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 27.

Adding to 105421110250113 its reverse (311052011124501), we get a palindrome (416473121374614).

The spelling of 105421110250113 in words is "one hundred five trillion, four hundred twenty-one billion, one hundred ten million, two hundred fifty thousand, one hundred thirteen".