10193729296 has 45 divisors (see below), whose sum is σ = 20254848231. Its totient is φ = 4969851936.

The previous prime is 10193729281. The next prime is 10193729297. The reversal of 10193729296 is 69292739101.

The square root of 10193729296 is 100964.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10193729297) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 17365515 + ... + 17366101.

Almost surely, 2^10193729296 is an apocalyptic number.

10193729296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

10193729296 is the 100964-th square number.

It is an amenable number.

10193729296 is a deficient number, since it is larger than the sum of its proper divisors (10061118935).

10193729296 is an frugal number, since it uses more digits than its factorization.

10193729296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1268 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 367416, while the sum is 49.

Multiplying 10193729296 by its sum of digits (49), we get a square (499492735504 = 706748²).

The spelling of 10193729296 in words is "ten billion, one hundred ninety-three million, seven hundred twenty-nine thousand, two hundred ninety-six".