10109815968 has 192 divisors, whose sum is σ = 32169940992. Its totient is φ = 2717383680.

The previous prime is 10109815943. The next prime is 10109816023. The reversal of 10109815968 is 86951890101.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 937455 + ... + 948177.

It is an arithmetic number, because the mean of its divisors is an integer number (167551776).

Almost surely, 2^10109815968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10109815968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16084970496).

10109815968 is an abundant number, since it is smaller than the sum of its proper divisors (22060125024).

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

10109815968 is a wasteful number, since it uses less digits than its factorization.

10109815968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10827 (or 10819 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 48.

The spelling of 10109815968 in words is "ten billion, one hundred nine million, eight hundred fifteen thousand, nine hundred sixty-eight".