10105500110634 has 48 divisors (see below), whose sum is σ = 21920006395872. Its totient is φ = 3364693111584.

The previous prime is 10105500110617. The next prime is 10105500110639. The reversal of 10105500110634 is 43601100550101.

10105500110634 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 550 + 0 + 1 + 106 + 3 + 4 = 666.

It is a super-2 number, since 2×10105500110634² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10105500110598 and 10105500110607.

It is not an unprimeable number, because it can be changed into a prime (10105500110639) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 73009257 + ... + 73147539.

It is an arithmetic number, because the mean of its divisors is an integer number (456666799914).

Almost surely, 2^{10105500110634} is an apocalyptic number.

10105500110634 is an abundant number, since it is smaller than the sum of its proper divisors (11814506285238).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10105500110634 is a wasteful number, since it uses less digits than its factorization.

10105500110634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142851 (or 142848 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

Adding to 10105500110634 its reverse (43601100550101), we get a palindrome (53706600660735).

The spelling of 10105500110634 in words is "ten trillion, one hundred five billion, five hundred million, one hundred ten thousand, six hundred thirty-four".