10506051061104 has 160 divisors (see below), whose sum is σ = 27813535016256. Its totient is φ = 3416251023360.

The previous prime is 10506051061091. The next prime is 10506051061123. The reversal of 10506051061104 is 40116015060501.

It is a super-2 number, since 2×10506051061104² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 182821944 + ... + 182879400.

Almost surely, 2^{10506051061104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10506051061104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13906767508128).

10506051061104 is an abundant number, since it is smaller than the sum of its proper divisors (17307483955152).

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

10506051061104 is a wasteful number, since it uses less digits than its factorization.

10506051061104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58043 (or 58037 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 30.

The spelling of 10506051061104 in words is "ten trillion, five hundred six billion, fifty-one million, sixty-one thousand, one hundred four".