10292101866 has 80 divisors (see below), whose sum is σ = 24074392320. Its totient is φ = 3282586560.

The previous prime is 10292101861. The next prime is 10292101867. The reversal of 10292101866 is 66810129201.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10292101866.

It is not an unprimeable number, because it can be changed into a prime (10292101861) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 435445 + ... + 458471.

It is an arithmetic number, because the mean of its divisors is an integer number (300929904).

Almost surely, 2^10292101866 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10292101866, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12037196160).

10292101866 is an abundant number, since it is smaller than the sum of its proper divisors (13782290454).

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

10292101866 is a wasteful number, since it uses less digits than its factorization.

10292101866 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23161 (or 23152 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The spelling of 10292101866 in words is "ten billion, two hundred ninety-two million, one hundred one thousand, eight hundred sixty-six".