105712552 has 32 divisors (see below), whose sum is σ = 222081120. Its totient is φ = 46751040.

The previous prime is 105712513. The next prime is 105712553. The reversal of 105712552 is 255217501.

It is a super-2 number, since 2×105712552² = 22350287300705408, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105712552.

It is not an unprimeable number, because it can be changed into a prime (105712553) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12978 + ... + 19489.

It is an arithmetic number, because the mean of its divisors is an integer number (6940035).

Almost surely, 2^105712552 is an apocalyptic number.

It is an amenable number.

105712552 is an abundant number, since it is smaller than the sum of its proper divisors (116368568).

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

105712552 is a wasteful number, since it uses less digits than its factorization.

105712552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32521 (or 32517 counting only the distinct ones).

The product of its (nonzero) digits is 3500, while the sum is 28.

The square root of 105712552 is about 10281.6609553126. The cubic root of 105712552 is about 472.8341683940.

The spelling of 105712552 in words is "one hundred five million, seven hundred twelve thousand, five hundred fifty-two".