10500105601007 has 64 divisors (see below), whose sum is σ = 12006866234880. Its totient is φ = 9098243481600.

The previous prime is 10500105600997. The next prime is 10500105601009. The reversal of 10500105601007 is 70010650100501.

It is a cyclic number.

It is not a de Polignac number, because 10500105601007 - 2²² = 10500101406703 is a prime.

It is a super-2 number, since 2×10500105601007² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10500105601009) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5205802463 + ... + 5205804479.

It is an arithmetic number, because the mean of its divisors is an integer number (187607284920).

Almost surely, 2^{10500105601007} is an apocalyptic number.

10500105601007 is a deficient number, since it is larger than the sum of its proper divisors (1506760633873).

10500105601007 is a wasteful number, since it uses less digits than its factorization.

10500105601007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3144.

The product of its (nonzero) digits is 1050, while the sum is 26.

Adding to 10500105601007 its reverse (70010650100501), we get a palindrome (80510755701508).

The spelling of 10500105601007 in words is "ten trillion, five hundred billion, one hundred five million, six hundred one thousand, seven".