10106051065561 has 32 divisors (see below), whose sum is σ = 11110999910400. Its totient is φ = 9115811496000.

The previous prime is 10106051065433. The next prime is 10106051065571. The reversal of 10106051065561 is 16556015060101.

It is not a de Polignac number, because 10106051065561 - 2⁷ = 10106051065433 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10106051065561.

It is not an unprimeable number, because it can be changed into a prime (10106051065571) 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, 1017621766 + ... + 1017631696.

It is an arithmetic number, because the mean of its divisors is an integer number (347218747200).

Almost surely, 2^{10106051065561} is an apocalyptic number.

10106051065561 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

10106051065561 is a deficient number, since it is larger than the sum of its proper divisors (1004948844839).

10106051065561 is a wasteful number, since it uses less digits than its factorization.

10106051065561 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11581.

The product of its (nonzero) digits is 27000, while the sum is 37.

The spelling of 10106051065561 in words is "ten trillion, one hundred six billion, fifty-one million, sixty-five thousand, five hundred sixty-one".