105300984 has 32 divisors (see below), whose sum is σ = 265865040. Its totient is φ = 34752000.

The previous prime is 105300961. The next prime is 105300989. The reversal of 105300984 is 489003501.

It is a super-2 number, since 2×105300984² = 22176594462736512, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105300989) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 19297 + ... + 24144.

Almost surely, 2^105300984 is an apocalyptic number.

It is an amenable number.

105300984 is an abundant number, since it is smaller than the sum of its proper divisors (160564056).

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

105300984 is a wasteful number, since it uses less digits than its factorization.

105300984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43551 (or 43547 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 30.

The square root of 105300984 is about 10261.6267716186. The cubic root of 105300984 is about 472.2197459022.

The spelling of 105300984 in words is "one hundred five million, three hundred thousand, nine hundred eighty-four".