105930660 has 72 divisors (see below), whose sum is σ = 326043648. Its totient is φ = 25678400.

The previous prime is 105930653. The next prime is 105930673. The reversal of 105930660 is 66039501.

It is a happy number.

It is a super-2 number, since 2×105930660² = 22442609456071200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36 + ... + 14555.

It is an arithmetic number, because the mean of its divisors is an integer number (4528384).

Almost surely, 2^105930660 is an apocalyptic number.

105930660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 105930660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163021824).

105930660 is an abundant number, since it is smaller than the sum of its proper divisors (220112988).

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

105930660 is a wasteful number, since it uses less digits than its factorization.

105930660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14625 (or 14612 counting only the distinct ones).

The product of its (nonzero) digits is 4860, while the sum is 30.

The square root of 105930660 is about 10292.2621420172. The cubic root of 105930660 is about 473.1591316024.

The spelling of 105930660 in words is "one hundred five million, nine hundred thirty thousand, six hundred sixty".