10834890192 has 360 divisors, whose sum is σ = 36200825856. Its totient is φ = 3015677952.

The previous prime is 10834890191. The next prime is 10834890221. The reversal of 10834890192 is 29109843801.

10834890192 is a `hidden beast` number, since 1 + 0 + 83 + 489 + 0 + 1 + 92 = 666.

10834890192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10834890191) 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 71 ways as a sum of consecutive naturals, for example, 85314033 + ... + 85314159.

Almost surely, 2^10834890192 is an apocalyptic number.

10834890192 is a gapful number since it is divisible by the number (12) 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 10834890192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18100412928).

10834890192 is an abundant number, since it is smaller than the sum of its proper divisors (25365935664).

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

10834890192 is a wasteful number, since it uses less digits than its factorization.

10834890192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 375 (or 359 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 45.

The spelling of 10834890192 in words is "ten billion, eight hundred thirty-four million, eight hundred ninety thousand, one hundred ninety-two".