105617130 has 64 divisors (see below), whose sum is σ = 265973760. Its totient is φ = 26804736.

The previous prime is 105617119. The next prime is 105617147. The reversal of 105617130 is 31716501.

It is a super-2 number, since 2×105617130² = 22309956298873800, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 105617130.

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, 62679 + ... + 64341.

It is an arithmetic number, because the mean of its divisors is an integer number (4155840).

Almost surely, 2^105617130 is an apocalyptic number.

105617130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 105617130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132986880).

105617130 is an abundant number, since it is smaller than the sum of its proper divisors (160356630).

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

105617130 is a wasteful number, since it uses less digits than its factorization.

105617130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1775.

The product of its (nonzero) digits is 630, while the sum is 24.

The square root of 105617130 is about 10277.0195095660. The cubic root of 105617130 is about 472.6918568030.

The spelling of 105617130 in words is "one hundred five million, six hundred seventeen thousand, one hundred thirty".