10239105945936 has 320 divisors, whose sum is σ = 32240779315200. Its totient is φ = 2735027970048.

The previous prime is 10239105945923. The next prime is 10239105945949. The reversal of 10239105945936 is 63954950193201.

10239105945936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10239105945923) and next prime (10239105945949).

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 297138820 + ... + 297173276.

It is an arithmetic number, because the mean of its divisors is an integer number (100752435360).

Almost surely, 2^{10239105945936} is an apocalyptic number.

10239105945936 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 10239105945936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16120389657600).

10239105945936 is an abundant number, since it is smaller than the sum of its proper divisors (22001673369264).

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

10239105945936 is a wasteful number, since it uses less digits than its factorization.

10239105945936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35106 (or 35100 counting only the distinct ones).

The product of its (nonzero) digits is 7873200, while the sum is 57.

The spelling of 10239105945936 in words is "ten trillion, two hundred thirty-nine billion, one hundred five million, nine hundred forty-five thousand, nine hundred thirty-six".