105303920 has 20 divisors (see below), whose sum is σ = 244831800. Its totient is φ = 42121536.

The previous prime is 105303911. The next prime is 105303937. The reversal of 105303920 is 29303501.

It is a happy number.

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

It is a super-3 number, since 3×105303920³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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, 658070 + ... + 658229.

It is an arithmetic number, because the mean of its divisors is an integer number (12241590).

Almost surely, 2^105303920 is an apocalyptic number.

105303920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105303920 is an abundant number, since it is smaller than the sum of its proper divisors (139527880).

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

105303920 is a wasteful number, since it uses less digits than its factorization.

105303920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1316312 (or 1316306 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 23.

The square root of 105303920 is about 10261.7698278611. The cubic root of 105303920 is about 472.2241346687.

The spelling of 105303920 in words is "one hundred five million, three hundred three thousand, nine hundred twenty".