105552312 has 16 divisors (see below), whose sum is σ = 263880840. Its totient is φ = 35184096.

The previous prime is 105552253. The next prime is 105552319. The reversal of 105552312 is 213255501.

It is a happy number.

It is a super-2 number, since 2×105552312² = 22282581137090688, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24), and also a Moran number because the ratio is a prime number: 4398013 = 105552312 / (1 + 0 + 5 + 5 + 5 + 2 + 3 + 1 + 2).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105552319) 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, 2198983 + ... + 2199030.

Almost surely, 2^105552312 is an apocalyptic number.

105552312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105552312 is an abundant number, since it is smaller than the sum of its proper divisors (158328528).

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

105552312 is a wasteful number, since it uses less digits than its factorization.

105552312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4398022 (or 4398018 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 24.

The square root of 105552312 is about 10273.8654848114. The cubic root of 105552312 is about 472.5951388726.

The spelling of 105552312 in words is "one hundred five million, five hundred fifty-two thousand, three hundred twelve".