105983910 has 96 divisors (see below), whose sum is σ = 293107680. Its totient is φ = 27231552.

The previous prime is 105983903. The next prime is 105983921. The reversal of 105983910 is 19389501.

It is a happy number.

It is a super-2 number, since 2×105983910² = 22465178357776200, 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 47 ways as a sum of consecutive naturals, for example, 1028919 + ... + 1029021.

It is an arithmetic number, because the mean of its divisors is an integer number (3053205).

Almost surely, 2^105983910 is an apocalyptic number.

105983910 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105983910, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146553840).

105983910 is an abundant number, since it is smaller than the sum of its proper divisors (187123770).

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

105983910 is a wasteful number, since it uses less digits than its factorization.

105983910 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259 (or 150 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The square root of 105983910 is about 10294.8487118558. The cubic root of 105983910 is about 473.2384020204.

The spelling of 105983910 in words is "one hundred five million, nine hundred eighty-three thousand, nine hundred ten".