105802533312 has 224 divisors, whose sum is σ = 334268746752. Its totient is φ = 28877561856.

The previous prime is 105802533271. The next prime is 105802533359. The reversal of 105802533312 is 213335208501.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×105802533312² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30817548 + ... + 30820980.

Almost surely, 2^105802533312 is an apocalyptic number.

105802533312 is a gapful number since it is divisible by the number (12) 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 105802533312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167134373376).

105802533312 is an abundant number, since it is smaller than the sum of its proper divisors (228466213440).

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

105802533312 is a wasteful number, since it uses less digits than its factorization.

105802533312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4475 (or 4465 counting only the distinct ones).

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

The spelling of 105802533312 in words is "one hundred five billion, eight hundred two million, five hundred thirty-three thousand, three hundred twelve".