105312533435250 has 256 divisors, whose sum is σ = 269060556570624. Its totient is φ = 27423688992000.

The previous prime is 105312533435231. The next prime is 105312533435309. The reversal of 105312533435250 is 52534335213501.

It is a super-2 number, since 2×105312533435250² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 53376853264 + ... + 53376855236.

It is an arithmetic number, because the mean of its divisors is an integer number (1051017799104).

Almost surely, 2^{105312533435250} is an apocalyptic number.

105312533435250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105312533435250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134530278285312).

105312533435250 is an abundant number, since it is smaller than the sum of its proper divisors (163748023135374).

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

105312533435250 is a wasteful number, since it uses less digits than its factorization.

105312533435250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4698 (or 4688 counting only the distinct ones).

The product of its (nonzero) digits is 810000, while the sum is 42.

Adding to 105312533435250 its reverse (52534335213501), we get a palindrome (157846868648751).

The spelling of 105312533435250 in words is "one hundred five trillion, three hundred twelve billion, five hundred thirty-three million, four hundred thirty-five thousand, two hundred fifty".