105706572 has 24 divisors (see below), whose sum is σ = 251897856. Its totient is φ = 34485648.

The previous prime is 105706571. The next prime is 105706589. The reversal of 105706572 is 275607501.

It is a super-2 number, since 2×105706572² = 22347758727982368, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105706571) 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 7 ways as a sum of consecutive naturals, for example, 93148 + ... + 94275.

It is an arithmetic number, because the mean of its divisors is an integer number (10495744).

Almost surely, 2^105706572 is an apocalyptic number.

105706572 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105706572 is an abundant number, since it is smaller than the sum of its proper divisors (146191284).

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

105706572 is a wasteful number, since it uses less digits than its factorization.

105706572 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187477 (or 187475 counting only the distinct ones).

The product of its (nonzero) digits is 14700, while the sum is 33.

The square root of 105706572 is about 10281.3701421552. The cubic root of 105706572 is about 472.8252523868.

The spelling of 105706572 in words is "one hundred five million, seven hundred six thousand, five hundred seventy-two".