105335980 has 12 divisors (see below), whose sum is σ = 221205600. Its totient is φ = 42134384.

The previous prime is 105335957. The next prime is 105335983. The reversal of 105335980 is 89533501.

It is a super-2 number, since 2×105335980² = 22191337365120800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105335983) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2633380 + ... + 2633419.

It is an arithmetic number, because the mean of its divisors is an integer number (18433800).

Almost surely, 2^105335980 is an apocalyptic number.

105335980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105335980 is an abundant number, since it is smaller than the sum of its proper divisors (115869620).

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

105335980 is a wasteful number, since it uses less digits than its factorization.

105335980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5266808 (or 5266806 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 34.

The square root of 105335980 is about 10263.3318176896. The cubic root of 105335980 is about 472.2720530165.

The spelling of 105335980 in words is "one hundred five million, three hundred thirty-five thousand, nine hundred eighty".