105173433312 has 96 divisors (see below), whose sum is σ = 281626595712. Its totient is φ = 34358843904.

The previous prime is 105173433301. The next prime is 105173433319. The reversal of 105173433312 is 213334371501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×105173433312² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105173433319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1225603 + ... + 1308605.

It is an arithmetic number, because the mean of its divisors is an integer number (2933610372).

Almost surely, 2^105173433312 is an apocalyptic number.

105173433312 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 105173433312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140813297856).

105173433312 is an abundant number, since it is smaller than the sum of its proper divisors (176453162400).

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

105173433312 is a wasteful number, since it uses less digits than its factorization.

105173433312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83280 (or 83272 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 33.

The spelling of 105173433312 in words is "one hundred five billion, one hundred seventy-three million, four hundred thirty-three thousand, three hundred twelve".