10792103040 has 320 divisors, whose sum is σ = 38710683000. Its totient is φ = 2865217536.

The previous prime is 10792103027. The next prime is 10792103089. The reversal of 10792103040 is 4030129701.

It can be written as a sum of positive squares in 4 ways, for example, as 10764477504 + 27625536 = 103752^2 + 5256^2 .

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10792102995 and 10792103013.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 21202306 + ... + 21202814.

Almost surely, 2^10792103040 is an apocalyptic number.

10792103040 is a gapful number since it is divisible by the number (10) 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 10792103040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19355341500).

10792103040 is an abundant number, since it is smaller than the sum of its proper divisors (27918579960).

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

10792103040 is an equidigital number, since it uses as much as digits as its factorization.

10792103040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 949 (or 928 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The spelling of 10792103040 in words is "ten billion, seven hundred ninety-two million, one hundred three thousand, forty".