10192819091 has 24 divisors (see below), whose sum is σ = 12664560384. Its totient is φ = 8032284000.

The previous prime is 10192819061. The next prime is 10192819093. The reversal of 10192819091 is 19091829101.

10192819091 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10192819091 - 2¹⁰ = 10192818067 is a prime.

It is a super-2 number, since 2×10192819091² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10192819093) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 279770 + ... + 314096.

It is an arithmetic number, because the mean of its divisors is an integer number (527690016).

Almost surely, 2^10192819091 is an apocalyptic number.

10192819091 is a deficient number, since it is larger than the sum of its proper divisors (2471741293).

10192819091 is a wasteful number, since it uses less digits than its factorization.

10192819091 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34611 (or 34598 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 41.

The spelling of 10192819091 in words is "ten billion, one hundred ninety-two million, eight hundred nineteen thousand, ninety-one".