10506106061061 has 32 divisors (see below), whose sum is σ = 15572839941120. Its totient is φ = 6256531584000.

The previous prime is 10506106061047. The next prime is 10506106061071. The reversal of 10506106061061 is 16016060160501.

It is not a de Polignac number, because 10506106061061 - 2⁶ = 10506106060997 is a prime.

It is a super-2 number, since 2×10506106061061² (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 (10506106061071) 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, 41498461 + ... + 41750861.

It is an arithmetic number, because the mean of its divisors is an integer number (486651248160).

Almost surely, 2^{10506106061061} is an apocalyptic number.

It is an amenable number.

10506106061061 is a deficient number, since it is larger than the sum of its proper divisors (5066733880059).

10506106061061 is a wasteful number, since it uses less digits than its factorization.

10506106061061 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286877.

The product of its (nonzero) digits is 6480, while the sum is 33.

The spelling of 10506106061061 in words is "ten trillion, five hundred six billion, one hundred six million, sixty-one thousand, sixty-one".