105252928 has 56 divisors (see below), whose sum is σ = 232769664. Its totient is φ = 46809600.

The previous prime is 105252911. The next prime is 105252937. The reversal of 105252928 is 829252501.

It is a happy number.

It is a super-2 number, since 2×105252928² = 22156357705146368, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 105252893 and 105252902.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31498 + ... + 34678.

Almost surely, 2^105252928 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 105252928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116384832).

105252928 is an abundant number, since it is smaller than the sum of its proper divisors (127516736).

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

105252928 is a wasteful number, since it uses less digits than its factorization.

105252928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3251 (or 3241 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 34.

The square root of 105252928 is about 10259.2849653375. The cubic root of 105252928 is about 472.1478996438.

The spelling of 105252928 in words is "one hundred five million, two hundred fifty-two thousand, nine hundred twenty-eight".