105421212 has 72 divisors (see below), whose sum is σ = 290319120. Its totient is φ = 32060160.

The previous prime is 105421193. The next prime is 105421223. The reversal of 105421212 is 212124501.

105421212 is a `hidden beast` number, since 1 + 0 + 542 + 121 + 2 = 666.

It is a super-2 number, since 2×105421212² = 22227263879097888, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40387 + ... + 42917.

It is an arithmetic number, because the mean of its divisors is an integer number (4032210).

Almost surely, 2^105421212 is an apocalyptic number.

105421212 is a gapful number since it is divisible by the number (12) 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 105421212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145159560).

105421212 is an abundant number, since it is smaller than the sum of its proper divisors (184897908).

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

105421212 is a wasteful number, since it uses less digits than its factorization.

105421212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2643 (or 2638 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 105421212 is about 10267.4832359250. The cubic root of 105421212 is about 472.3993974109.

Adding to 105421212 its reverse (212124501), we get a palindrome (317545713).

The spelling of 105421212 in words is "one hundred five million, four hundred twenty-one thousand, two hundred twelve".