105055007057 has 32 divisors (see below), whose sum is σ = 144333235200. Its totient is φ = 73806707520.

The previous prime is 105055007039. The next prime is 105055007059. The reversal of 105055007057 is 750700550501.

It is not a de Polignac number, because 105055007057 - 2⁸ = 105055006801 is a prime.

It is a super-2 number, since 2×105055007057² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105055007059) 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, 1177307 + ... + 1263392.

It is an arithmetic number, because the mean of its divisors is an integer number (4510413600).

Almost surely, 2^105055007057 is an apocalyptic number.

It is an amenable number.

105055007057 is a deficient number, since it is larger than the sum of its proper divisors (39278228143).

105055007057 is a wasteful number, since it uses less digits than its factorization.

105055007057 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2440773.

The product of its (nonzero) digits is 30625, while the sum is 35.

Adding to 105055007057 its reverse (750700550501), we get a palindrome (855755557558).

The spelling of 105055007057 in words is "one hundred five billion, fifty-five million, seven thousand, fifty-seven".