105193960 has 96 divisors (see below), whose sum is σ = 259844760. Its totient is φ = 38191104.

The previous prime is 105193939. The next prime is 105193969. The reversal of 105193960 is 69391501.

It can be written as a sum of positive squares in 12 ways, for example, as 33385284 + 71808676 = 5778^2 + 8474^2 .

It is a super-2 number, since 2×105193960² = 22131538440963200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is not an unprimeable number, because it can be changed into a prime (105193969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 930864 + ... + 930976.

Almost surely, 2^105193960 is an apocalyptic number.

105193960 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 105193960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129922380).

105193960 is an abundant number, since it is smaller than the sum of its proper divisors (154650800).

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

105193960 is a wasteful number, since it uses less digits than its factorization.

105193960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 7290, while the sum is 34.

The square root of 105193960 is about 10256.4106782051. The cubic root of 105193960 is about 472.0597094816.

The spelling of 105193960 in words is "one hundred five million, one hundred ninety-three thousand, nine hundred sixty".