105807960 has 192 divisors, whose sum is σ = 374400000. Its totient is φ = 25816320.

The previous prime is 105807953. The next prime is 105807967. The reversal of 105807960 is 69708501.

105807960 is a `hidden beast` number, since 1 + 0 + 580 + 79 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (105807953) and next prime (105807967).

It is a super-2 number, since 2×105807960² = 22390648798723200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105807967) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 211791 + ... + 212289.

It is an arithmetic number, because the mean of its divisors is an integer number (1950000).

Almost surely, 2^105807960 is an apocalyptic number.

105807960 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 105807960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187200000).

105807960 is an abundant number, since it is smaller than the sum of its proper divisors (268592040).

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

105807960 is a wasteful number, since it uses less digits than its factorization.

105807960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 566 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The square root of 105807960 is about 10286.2996262018. The cubic root of 105807960 is about 472.9763735113.

The spelling of 105807960 in words is "one hundred five million, eight hundred seven thousand, nine hundred sixty".