10506610261644 has 96 divisors (see below), whose sum is σ = 28478960885760. Its totient is φ = 2952596066112.

The previous prime is 10506610261639. The next prime is 10506610261673. The reversal of 10506610261644 is 44616201660501.

It is a happy number.

It is a super-2 number, since 2×10506610261644² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 10506610261596 and 10506610261605.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2292429 + ... + 5125275.

It is an arithmetic number, because the mean of its divisors is an integer number (296655842560).

Almost surely, 2^{10506610261644} is an apocalyptic number.

10506610261644 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10506610261644, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14239480442880).

10506610261644 is an abundant number, since it is smaller than the sum of its proper divisors (17972350624116).

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

10506610261644 is a wasteful number, since it uses less digits than its factorization.

10506610261644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2833587 (or 2833585 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 10506610261644 in words is "ten trillion, five hundred six billion, six hundred ten million, two hundred sixty-one thousand, six hundred forty-four".