10246105341136 has 160 divisors (see below), whose sum is σ = 23020897996800. Its totient is φ = 4327167744000.

The previous prime is 10246105341119. The next prime is 10246105341163. The reversal of 10246105341136 is 63114350164201.

It is a junction number, because it is equal to n+sod(n) for n = 10246105341095 and 10246105341104.

It is a congruent number.

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, 4853672721 + ... + 4853674831.

It is an arithmetic number, because the mean of its divisors is an integer number (143880612480).

Almost surely, 2^{10246105341136} is an apocalyptic number.

10246105341136 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 10246105341136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11510448998400).

10246105341136 is an abundant number, since it is smaller than the sum of its proper divisors (12774792655664).

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

10246105341136 is a wasteful number, since it uses less digits than its factorization.

10246105341136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4053 (or 4047 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The spelling of 10246105341136 in words is "ten trillion, two hundred forty-six billion, one hundred five million, three hundred forty-one thousand, one hundred thirty-six".