105977344 has 80 divisors (see below), whose sum is σ = 238841856. Its totient is φ = 46540800.

The previous prime is 105977341. The next prime is 105977357. The reversal of 105977344 is 443779501.

It is a super-2 number, since 2×105977344² = 22462394882588672, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105977297 and 105977306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105977341) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 174289 + ... + 174895.

Almost surely, 2^105977344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105977344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119420928).

105977344 is an abundant number, since it is smaller than the sum of its proper divisors (132864512).

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

105977344 is an equidigital number, since it uses as much as digits as its factorization.

105977344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 667 (or 651 counting only the distinct ones).

The product of its (nonzero) digits is 105840, while the sum is 40.

The square root of 105977344 is about 10294.5298095639. The cubic root of 105977344 is about 473.2286290038.

The spelling of 105977344 in words is "one hundred five million, nine hundred seventy-seven thousand, three hundred forty-four".