105212350 has 48 divisors (see below), whose sum is σ = 205701120. Its totient is φ = 39960800.

The previous prime is 105212347. The next prime is 105212353. The reversal of 105212350 is 53212501.

It is an interprime number because it is at equal distance from previous prime (105212347) and next prime (105212353).

It is a super-2 number, since 2×105212350² = 22139277185045000, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105212353) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 219411 + ... + 219889.

It is an arithmetic number, because the mean of its divisors is an integer number (4285440).

Almost surely, 2^105212350 is an apocalyptic number.

105212350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105212350 is a deficient number, since it is larger than the sum of its proper divisors (100488770).

105212350 is a wasteful number, since it uses less digits than its factorization.

105212350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 700 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 19.

The square root of 105212350 is about 10257.3071514896. The cubic root of 105212350 is about 472.0872163594.

Adding to 105212350 its reverse (53212501), we get a palindrome (158424851).

The spelling of 105212350 in words is "one hundred five million, two hundred twelve thousand, three hundred fifty".