105253000 has 32 divisors (see below), whose sum is σ = 246294360. Its totient is φ = 42100800.

The previous prime is 105252937. The next prime is 105253019. The reversal of 105253000 is 352501.

It can be written as a sum of positive squares in 4 ways, for example, as 9721924 + 95531076 = 3118^2 + 9774^2 .

It is a super-2 number, since 2×105253000² = 22156388018000000, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51627 + ... + 53626.

Almost surely, 2^105253000 is an apocalyptic number.

105253000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105253000 is an abundant number, since it is smaller than the sum of its proper divisors (141041360).

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

105253000 is a wasteful number, since it uses less digits than its factorization.

105253000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105274 (or 105260 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 16.

The square root of 105253000 is about 10259.2884743534. The cubic root of 105253000 is about 472.1480073040.

The spelling of 105253000 in words is "one hundred five million, two hundred fifty-three thousand".