105257052 has 18 divisors (see below), whose sum is σ = 266066528. Its totient is φ = 35085672.

The previous prime is 105257029. The next prime is 105257057. The reversal of 105257052 is 250752501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (18).

It is a super-2 number, since 2×105257052² = 22158093991461408, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105257057) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1461868 + ... + 1461939.

Almost surely, 2^105257052 is an apocalyptic number.

105257052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

105257052 is an abundant number, since it is smaller than the sum of its proper divisors (160809476).

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

105257052 is a wasteful number, since it uses less digits than its factorization.

105257052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2923817 (or 2923812 counting only the distinct ones).

The product of its (nonzero) digits is 3500, while the sum is 27.

The square root of 105257052 is about 10259.4859520348. The cubic root of 105257052 is about 472.1540660994.

The spelling of 105257052 in words is "one hundred five million, two hundred fifty-seven thousand, fifty-two".