105301600 has 36 divisors (see below), whose sum is σ = 257069484. Its totient is φ = 42120320.

The previous prime is 105301561. The next prime is 105301601. The reversal of 105301600 is 6103501.

It is a super-2 number, since 2×105301600² = 22176853925120000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105301601) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 65014 + ... + 66613.

It is an arithmetic number, because the mean of its divisors is an integer number (7140819).

Almost surely, 2^105301600 is an apocalyptic number.

105301600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105301600 is an abundant number, since it is smaller than the sum of its proper divisors (151767884).

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

105301600 is a wasteful number, since it uses less digits than its factorization.

105301600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131647 (or 131634 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 105301600 is about 10261.6567863089. The cubic root of 105301600 is about 472.2206667128.

The spelling of 105301600 in words is "one hundred five million, three hundred one thousand, six hundred".