105283530 has 64 divisors (see below), whose sum is σ = 306288000. Its totient is φ = 25522560.

The previous prime is 105283523. The next prime is 105283597. The reversal of 105283530 is 35382501.

105283530 is a `hidden beast` number, since 1 + 0 + 52 + 83 + 530 = 666.

It is a super-2 number, since 2×105283530² = 22169243378521800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 105283494 and 105283503.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14755 + ... + 20694.

It is an arithmetic number, because the mean of its divisors is an integer number (4785750).

Almost surely, 2^105283530 is an apocalyptic number.

105283530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105283530 is an abundant number, since it is smaller than the sum of its proper divisors (201004470).

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

105283530 is a wasteful number, since it uses less digits than its factorization.

105283530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35476 (or 35470 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The square root of 105283530 is about 10260.7762864220. The cubic root of 105283530 is about 472.1936537786.

The spelling of 105283530 in words is "one hundred five million, two hundred eighty-three thousand, five hundred thirty".