105402024 has 96 divisors (see below), whose sum is σ = 351361920. Its totient is φ = 27796608.

The previous prime is 105402007. The next prime is 105402071. The reversal of 105402024 is 420204501.

It is a super-2 number, since 2×105402024² = 22219173326593152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 105401988 and 105402006.

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 23 ways as a sum of consecutive naturals, for example, 1492 + ... + 14595.

It is an arithmetic number, because the mean of its divisors is an integer number (3660020).

Almost surely, 2^105402024 is an apocalyptic number.

105402024 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105402024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175680960).

105402024 is an abundant number, since it is smaller than the sum of its proper divisors (245959896).

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

105402024 is a wasteful number, since it uses less digits than its factorization.

105402024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16119 (or 16112 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 105402024 is about 10266.5487872021. The cubic root of 105402024 is about 472.3707347744.

Adding to 105402024 its reverse (420204501), we get a palindrome (525606525).

The spelling of 105402024 in words is "one hundred five million, four hundred two thousand, twenty-four".