105019072 has 56 divisors (see below), whose sum is σ = 220301312. Its totient is φ = 49593600.

The previous prime is 105019069. The next prime is 105019091. The reversal of 105019072 is 270910501.

It is a super-2 number, since 2×105019072² = 22058010967482368, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 84697 + ... + 85927.

It is an arithmetic number, because the mean of its divisors is an integer number (3933952).

Almost surely, 2^105019072 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 105019072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110150656).

105019072 is an abundant number, since it is smaller than the sum of its proper divisors (115282240).

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

105019072 is a wasteful number, since it uses less digits than its factorization.

105019072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1317 (or 1307 counting only the distinct ones).

The product of its (nonzero) digits is 630, while the sum is 25.

The square root of 105019072 is about 10247.8813420141. The cubic root of 105019072 is about 471.7979600674.

Adding to 105019072 its reverse (270910501), we get a palindrome (375929573).

The spelling of 105019072 in words is "one hundred five million, nineteen thousand, seventy-two".