105300768 has 24 divisors (see below), whose sum is σ = 276414768. Its totient is φ = 35100224.

The previous prime is 105300761. The next prime is 105300773. The reversal of 105300768 is 867003501.

It is a tau number, because it is divible by the number of its divisors (24).

It is a super-2 number, since 2×105300768² = 22176503482779648, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105300761) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 548346 + ... + 548537.

It is an arithmetic number, because the mean of its divisors is an integer number (11517282).

Almost surely, 2^105300768 is an apocalyptic number.

It is an amenable number.

105300768 is an abundant number, since it is smaller than the sum of its proper divisors (171114000).

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

105300768 is a wasteful number, since it uses less digits than its factorization.

105300768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1096896 (or 1096888 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 105300768 is about 10261.6162469662. The cubic root of 105300768 is about 472.2194230197.

The spelling of 105300768 in words is "one hundred five million, three hundred thousand, seven hundred sixty-eight".