10105051055561 has 12 divisors (see below), whose sum is σ = 12693948434496. Its totient is φ = 7874065756920.

The previous prime is 10105051055459. The next prime is 10105051055569. The reversal of 10105051055561 is 16555015050101.

It is a de Polignac number, because none of the positive numbers 2^k-10105051055561 is a prime.

It is a super-2 number, since 2×10105051055561² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10105051055569) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5965200485 + ... + 5965202178.

It is an arithmetic number, because the mean of its divisors is an integer number (1057829036208).

Almost surely, 2^{10105051055561} is an apocalyptic number.

10105051055561 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10105051055561 is a deficient number, since it is larger than the sum of its proper divisors (2588897378935).

10105051055561 is a wasteful number, since it uses less digits than its factorization.

10105051055561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11930402692 (or 11930402681 counting only the distinct ones).

The product of its (nonzero) digits is 18750, while the sum is 35.

The spelling of 10105051055561 in words is "ten trillion, one hundred five billion, fifty-one million, fifty-five thousand, five hundred sixty-one".