105135337827 has 32 divisors (see below), whose sum is σ = 176565580800. Its totient is φ = 61293472416.

The previous prime is 105135337787. The next prime is 105135337847. The reversal of 105135337827 is 728733531501.

105135337827 is a `hidden beast` number, since 1 + 0 + 513 + 53 + 3 + 7 + 82 + 7 = 666.

It is not a de Polignac number, because 105135337827 - 2²³ = 105126949219 is a prime.

It is a super-2 number, since 2×105135337827² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105135337847) 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, 7875723 + ... + 7889060.

It is an arithmetic number, because the mean of its divisors is an integer number (5517674400).

Almost surely, 2^105135337827 is an apocalyptic number.

105135337827 is a deficient number, since it is larger than the sum of its proper divisors (71430242973).

105135337827 is a wasteful number, since it uses less digits than its factorization.

105135337827 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15764824 (or 15764818 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 105135337827 in words is "one hundred five billion, one hundred thirty-five million, three hundred thirty-seven thousand, eight hundred twenty-seven".