105300741 has 32 divisors (see below), whose sum is σ = 173436928. Its totient is φ = 55339200.

The previous prime is 105300721. The next prime is 105300749. The reversal of 105300741 is 147003501.

It is not a de Polignac number, because 105300741 - 2⁵ = 105300709 is a prime.

It is a super-2 number, since 2×105300741² = 22176492110298162, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105300749) 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 31 ways as a sum of consecutive naturals, for example, 99666 + ... + 100716.

It is an arithmetic number, because the mean of its divisors is an integer number (5419904).

Almost surely, 2^105300741 is an apocalyptic number.

It is an amenable number.

105300741 is a deficient number, since it is larger than the sum of its proper divisors (68136187).

105300741 is a wasteful number, since it uses less digits than its factorization.

105300741 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1441.

The product of its (nonzero) digits is 420, while the sum is 21.

The square root of 105300741 is about 10261.6149313839. The cubic root of 105300741 is about 472.2193826593.

The spelling of 105300741 in words is "one hundred five million, three hundred thousand, seven hundred forty-one".