105233430 has 32 divisors (see below), whose sum is σ = 254928384. Its totient is φ = 27799136.

The previous prime is 105233413. The next prime is 105233473. The reversal of 105233430 is 34332501.

It is a super-2 number, since 2×105233430² = 22148149579129800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105233397 and 105233406.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13182 + ... + 19601.

It is an arithmetic number, because the mean of its divisors is an integer number (7966512).

Almost surely, 2^105233430 is an apocalyptic number.

105233430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105233430 is an abundant number, since it is smaller than the sum of its proper divisors (149694954).

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

105233430 is a wasteful number, since it uses less digits than its factorization.

105233430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32900.

The product of its (nonzero) digits is 1080, while the sum is 21.

The square root of 105233430 is about 10258.3346601678. The cubic root of 105233430 is about 472.1187428674.

Adding to 105233430 its reverse (34332501), we get a palindrome (139565931).

The spelling of 105233430 in words is "one hundred five million, two hundred thirty-three thousand, four hundred thirty".