105335920 has 20 divisors (see below), whose sum is σ = 244906200. Its totient is φ = 42134336.

The previous prime is 105335911. The next prime is 105335953. The reversal of 105335920 is 29533501.

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×105335920² = 22191312084492800, 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 3 ways as a sum of consecutive naturals, for example, 658270 + ... + 658429.

It is an arithmetic number, because the mean of its divisors is an integer number (12245310).

Almost surely, 2^105335920 is an apocalyptic number.

105335920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105335920 is an abundant number, since it is smaller than the sum of its proper divisors (139570280).

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

105335920 is a wasteful number, since it uses less digits than its factorization.

105335920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1316712 (or 1316706 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 28.

The square root of 105335920 is about 10263.3288946618. The cubic root of 105335920 is about 472.2719633468.

The spelling of 105335920 in words is "one hundred five million, three hundred thirty-five thousand, nine hundred twenty".