105773352 has 32 divisors (see below), whose sum is σ = 266911200. Its totient is φ = 34927424.

The previous prime is 105773351. The next prime is 105773357. The reversal of 105773352 is 253377501.

It is a super-2 number, since 2×105773352² = 22376003986631808, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (105773351) 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, 18027 + ... + 23162.

It is an arithmetic number, because the mean of its divisors is an integer number (8340975).

Almost surely, 2^105773352 is an apocalyptic number.

105773352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105773352 is an abundant number, since it is smaller than the sum of its proper divisors (161137848).

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

105773352 is a wasteful number, since it uses less digits than its factorization.

105773352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41305 (or 41301 counting only the distinct ones).

The product of its (nonzero) digits is 22050, while the sum is 33.

The square root of 105773352 is about 10284.6172510211. The cubic root of 105773352 is about 472.9248003552.

It can be divided in two parts, 1057733 and 52, that added together give a triangular number (1057785 = T₁₄₅₄).

The spelling of 105773352 in words is "one hundred five million, seven hundred seventy-three thousand, three hundred fifty-two".