105252256 has 24 divisors (see below), whose sum is σ = 207446400. Its totient is φ = 52567488.

The previous prime is 105252239. The next prime is 105252263. The reversal of 105252256 is 652252501.

It is a super-2 number, since 2×105252256² = 22156074786179072, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 49095 + ... + 51193.

It is an arithmetic number, because the mean of its divisors is an integer number (8643600).

Almost surely, 2^105252256 is an apocalyptic number.

105252256 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

105252256 is a deficient number, since it is larger than the sum of its proper divisors (102194144).

105252256 is a wasteful number, since it uses less digits than its factorization.

105252256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3676 (or 3668 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 28.

The square root of 105252256 is about 10259.2522144648. The cubic root of 105252256 is about 472.1468948133.

The spelling of 105252256 in words is "one hundred five million, two hundred fifty-two thousand, two hundred fifty-six".