105645960 has 288 divisors, whose sum is σ = 410543640. Its totient is φ = 23482368.

The previous prime is 105645949. The next prime is 105645997. The reversal of 105645960 is 69546501.

105645960 is a `hidden beast` number, since 1 + 0 + 5 + 64 + 596 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 64352484 + 41293476 = 8022^2 + 6426^2 .

It is a super-2 number, since 2×105645960² = 22322137728643200, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 934864 + ... + 934976.

Almost surely, 2^105645960 is an apocalyptic number.

105645960 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 105645960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205271820).

105645960 is an abundant number, since it is smaller than the sum of its proper divisors (304897680).

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

105645960 is a wasteful number, since it uses less digits than its factorization.

105645960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 197 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 105645960 is about 10278.4220578842. The cubic root of 105645960 is about 472.7348626628.

The spelling of 105645960 in words is "one hundred five million, six hundred forty-five thousand, nine hundred sixty".