105240512 has 28 divisors (see below), whose sum is σ = 224902776. Its totient is φ = 48572160.

The previous prime is 105240511. The next prime is 105240517. The reversal of 105240512 is 215042501.

It is a super-2 number, since 2×105240512² = 22151130732044288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105240511) 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 3 ways as a sum of consecutive naturals, for example, 62414 + ... + 64077.

It is an arithmetic number, because the mean of its divisors is an integer number (8032242).

Almost surely, 2^105240512 is an apocalyptic number.

It is an amenable number.

105240512 is an abundant number, since it is smaller than the sum of its proper divisors (119662264).

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

105240512 is a wasteful number, since it uses less digits than its factorization.

105240512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126516 (or 126506 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

The square root of 105240512 is about 10258.6798370940. The cubic root of 105240512 is about 472.1293335132.

The spelling of 105240512 in words is "one hundred five million, two hundred forty thousand, five hundred twelve".