105350304 has 48 divisors (see below), whose sum is σ = 288574272. Its totient is φ = 33589248.

The previous prime is 105350303. The next prime is 105350321. The reversal of 105350304 is 403053501.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×105350304² = 22197373105784832, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105350303) 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, 21649 + ... + 26064.

It is an arithmetic number, because the mean of its divisors is an integer number (6011964).

Almost surely, 2^105350304 is an apocalyptic number.

It is an amenable number.

105350304 is an abundant number, since it is smaller than the sum of its proper divisors (183223968).

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

105350304 is a wasteful number, since it uses less digits than its factorization.

105350304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47749 (or 47741 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 21.

The square root of 105350304 is about 10264.0296180399. The cubic root of 105350304 is about 472.2934591820.

The spelling of 105350304 in words is "one hundred five million, three hundred fifty thousand, three hundred four".