105333972 has 48 divisors (see below), whose sum is σ = 263414592. Its totient is φ = 32642560.

The previous prime is 105333947. The next prime is 105334013. The reversal of 105333972 is 279333501.

It is a super-2 number, since 2×105333972² = 22190491314593568, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13822 + ... + 20042.

It is an arithmetic number, because the mean of its divisors is an integer number (5487804).

Almost surely, 2^105333972 is an apocalyptic number.

105333972 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 105333972, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131707296).

105333972 is an abundant number, since it is smaller than the sum of its proper divisors (158080620).

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

105333972 is a wasteful number, since it uses less digits than its factorization.

105333972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6328 (or 6326 counting only the distinct ones).

The product of its (nonzero) digits is 17010, while the sum is 33.

The square root of 105333972 is about 10263.2339932401. The cubic root of 105333972 is about 472.2690520529.

The spelling of 105333972 in words is "one hundred five million, three hundred thirty-three thousand, nine hundred seventy-two".