10305121052436 has 192 divisors, whose sum is σ = 28733988864000. Its totient is φ = 2812478423040.

The previous prime is 10305121052419. The next prime is 10305121052459. The reversal of 10305121052436 is 63425012150301.

It is a junction number, because it is equal to n+sod(n) for n = 10305121052397 and 10305121052406.

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, 1376030580 + ... + 1376038068.

It is an arithmetic number, because the mean of its divisors is an integer number (149656192000).

Almost surely, 2^{10305121052436} 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 10305121052436, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14366994432000).

10305121052436 is an abundant number, since it is smaller than the sum of its proper divisors (18428867811564).

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

10305121052436 is a wasteful number, since it uses less digits than its factorization.

10305121052436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14302 (or 14300 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 33.

The spelling of 10305121052436 in words is "ten trillion, three hundred five billion, one hundred twenty-one million, fifty-two thousand, four hundred thirty-six".