10199007936 has 336 divisors, whose sum is σ = 33151023360. Its totient is φ = 2976030720.

The previous prime is 10199007899. The next prime is 10199007937. The reversal of 10199007936 is 63970099101.

It is a junction number, because it is equal to n+sod(n) for n = 10199007891 and 10199007900.

It is not an unprimeable number, because it can be changed into a prime (10199007937) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12302370 + ... + 12303198.

It is an arithmetic number, because the mean of its divisors is an integer number (98663760).

Almost surely, 2^10199007936 is an apocalyptic number.

10199007936 is a gapful number since it is divisible by the number (16) 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 10199007936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16575511680).

10199007936 is an abundant number, since it is smaller than the sum of its proper divisors (22952015424).

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

10199007936 is a wasteful number, since it uses less digits than its factorization.

10199007936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 91854, while the sum is 45.

The spelling of 10199007936 in words is "ten billion, one hundred ninety-nine million, seven thousand, nine hundred thirty-six".