105635130 has 32 divisors (see below), whose sum is σ = 253843200. Its totient is φ = 28133952.

The previous prime is 105635129. The next prime is 105635203. The reversal of 105635130 is 31536501.

It is a super-2 number, since 2×105635130² = 22317561380233800, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 105635130.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 29476 + ... + 32864.

It is an arithmetic number, because the mean of its divisors is an integer number (7932600).

Almost surely, 2^105635130 is an apocalyptic number.

105635130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

105635130 is an abundant number, since it is smaller than the sum of its proper divisors (148208070).

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

105635130 is a wasteful number, since it uses less digits than its factorization.

105635130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4438.

The product of its (nonzero) digits is 1350, while the sum is 24.

The square root of 105635130 is about 10277.8952125423. The cubic root of 105635130 is about 472.7187084135.

The spelling of 105635130 in words is "one hundred five million, six hundred thirty-five thousand, one hundred thirty".