10506105057 has 32 divisors (see below), whose sum is σ = 16236767232. Its totient is φ = 5918500224.

The previous prime is 10506105023. The next prime is 10506105059. The reversal of 10506105057 is 75050160501.

It is not a de Polignac number, because 10506105057 - 2¹⁴ = 10506088673 is a prime.

It is a super-2 number, since 2×10506105057² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10506105059) 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, 842653 + ... + 855029.

It is an arithmetic number, because the mean of its divisors is an integer number (507398976).

Almost surely, 2^10506105057 is an apocalyptic number.

It is an amenable number.

10506105057 is a deficient number, since it is larger than the sum of its proper divisors (5730662175).

10506105057 is a wasteful number, since it uses less digits than its factorization.

10506105057 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12957.

The product of its (nonzero) digits is 5250, while the sum is 30.

Adding to 10506105057 its reverse (75050160501), we get a palindrome (85556265558).

The spelling of 10506105057 in words is "ten billion, five hundred six million, one hundred five thousand, fifty-seven".