105043968 has 144 divisors (see below), whose sum is σ = 313021800. Its totient is φ = 33914880.

The previous prime is 105043949. The next prime is 105043979. The reversal of 105043968 is 869340501.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×105043968² = 22068470426370048, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 755643 + ... + 755781.

Almost surely, 2^105043968 is an apocalyptic number.

105043968 is a gapful number since it is divisible by the number (18) 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 105043968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156510900).

105043968 is an abundant number, since it is smaller than the sum of its proper divisors (207977832).

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

105043968 is a wasteful number, since it uses less digits than its factorization.

105043968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 105043968 is about 10249.0959601323. The cubic root of 105043968 is about 471.8352388643.

The spelling of 105043968 in words is "one hundred five million, forty-three thousand, nine hundred sixty-eight".