52105768 has 64 divisors (see below), whose sum is σ = 117976320. Its totient is φ = 21254400.

The previous prime is 52105763. The next prime is 52105777. The reversal of 52105768 is 86750125.

It is a super-2 number, since 2×52105768² = 5430022117739648, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (52105763) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 41713 + ... + 42943.

It is an arithmetic number, because the mean of its divisors is an integer number (1843380).

Almost surely, 2^52105768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52105768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58988160).

52105768 is an abundant number, since it is smaller than the sum of its proper divisors (65870552).

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

52105768 is a wasteful number, since it uses less digits than its factorization.

52105768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1298 (or 1294 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 34.

The square root of 52105768 is about 7218.4325168280. The cubic root of 52105768 is about 373.5040085542.

It can be divided in two parts, 521057 and 68, that added together give a palindrome (521125).

The spelling of 52105768 in words is "fifty-two million, one hundred five thousand, seven hundred sixty-eight".