105160660 has 48 divisors (see below), whose sum is σ = 247443840. Its totient is φ = 37203840.

The previous prime is 105160651. The next prime is 105160663. The reversal of 105160660 is 66061501.

It is a super-2 number, since 2×105160660² = 22117528823271200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105160663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1681 + ... + 14599.

It is an arithmetic number, because the mean of its divisors is an integer number (5155080).

Almost surely, 2^105160660 is an apocalyptic number.

105160660 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 105160660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123721920).

105160660 is an abundant number, since it is smaller than the sum of its proper divisors (142283180).

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

105160660 is a wasteful number, since it uses less digits than its factorization.

105160660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12976 (or 12974 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 25.

The square root of 105160660 is about 10254.7871747784. The cubic root of 105160660 is about 472.0098927832.

The spelling of 105160660 in words is "one hundred five million, one hundred sixty thousand, six hundred sixty".