10738347876 has 189 divisors, whose sum is σ = 30033564393. Its totient is φ = 3357482400.

The previous prime is 10738347869. The next prime is 10738347881. The reversal of 10738347876 is 67874383701.

The square root of 10738347876 is 103626.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 10317277476 + 421070400 = 101574^2 + 20520^2 .

It is a super-2 number, since 2×10738347876² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 106320226 + ... + 106320326.

Almost surely, 2^10738347876 is an apocalyptic number.

10738347876 is the 103626-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10738347876

10738347876 is an abundant number, since it is smaller than the sum of its proper divisors (19295216517).

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

10738347876 is an equidigital number, since it uses as much as digits as its factorization.

10738347876 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 125 counting only the distinct ones).

The product of its (nonzero) digits is 4741632, while the sum is 54.

The spelling of 10738347876 in words is "ten billion, seven hundred thirty-eight million, three hundred forty-seven thousand, eight hundred seventy-six".