105105025413 has 8 divisors (see below), whose sum is σ = 155711148800. Its totient is φ = 70070016924.

The previous prime is 105105025397. The next prime is 105105025423. The reversal of 105105025413 is 314520501501.

105105025413 is a `hidden beast` number, since 10 + 5 + 105 + 0 + 2 + 541 + 3 = 666.

It is not a de Polignac number, because 105105025413 - 2⁴ = 105105025397 is a prime.

It is a super-2 number, since 2×105105025413² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27), and also a Moran number because the ratio is a prime number: 3892778719 = 105105025413 / (1 + 0 + 5 + 1 + 0 + 5 + 0 + 2 + 5 + 4 + 1 + 3).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105105025423) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1946389333 + ... + 1946389386.

It is an arithmetic number, because the mean of its divisors is an integer number (19463893600).

Almost surely, 2^105105025413 is an apocalyptic number.

It is an amenable number.

105105025413 is a deficient number, since it is larger than the sum of its proper divisors (50606123387).

105105025413 is an equidigital number, since it uses as much as digits as its factorization.

105105025413 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3892778728 (or 3892778722 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

Adding to 105105025413 its reverse (314520501501), we get a palindrome (419625526914).

The spelling of 105105025413 in words is "one hundred five billion, one hundred five million, twenty-five thousand, four hundred thirteen".