105147384 has 64 divisors (see below), whose sum is σ = 271286400. Its totient is φ = 33941376.

The previous prime is 105147373. The next prime is 105147391. The reversal of 105147384 is 483741501.

It is a super-2 number, since 2×105147384² = 22111944724086912, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 143082 + ... + 143814.

It is an arithmetic number, because the mean of its divisors is an integer number (4238850).

Almost surely, 2^105147384 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105147384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135643200).

105147384 is an abundant number, since it is smaller than the sum of its proper divisors (166139016).

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

105147384 is a wasteful number, since it uses less digits than its factorization.

105147384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 924 (or 920 counting only the distinct ones).

The product of its (nonzero) digits is 13440, while the sum is 33.

The square root of 105147384 is about 10254.1398469106. The cubic root of 105147384 is about 471.9900289955.

Adding to 105147384 its reverse (483741501), we get a palindrome (588888885).

The spelling of 105147384 in words is "one hundred five million, one hundred forty-seven thousand, three hundred eighty-four".