105724212 has 48 divisors (see below), whose sum is σ = 270273024. Its totient is φ = 31900000.

The previous prime is 105724211. The next prime is 105724237. The reversal of 105724212 is 212427501.

It is a super-2 number, since 2×105724212² = 22355218006041888, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105724211) by changing a digit.

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, 31537 + ... + 34727.

It is an arithmetic number, because the mean of its divisors is an integer number (5630688).

Almost surely, 2^105724212 is an apocalyptic number.

105724212 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 105724212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135136512).

105724212 is an abundant number, since it is smaller than the sum of its proper divisors (164548812).

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

105724212 is a wasteful number, since it uses less digits than its factorization.

105724212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3460 (or 3458 counting only the distinct ones).

The product of its (nonzero) digits is 1120, while the sum is 24.

The square root of 105724212 is about 10282.2279686846. The cubic root of 105724212 is about 472.8515521503.

The spelling of 105724212 in words is "one hundred five million, seven hundred twenty-four thousand, two hundred twelve".