105363860 has 48 divisors (see below), whose sum is σ = 254620800. Its totient is φ = 35875200.

The previous prime is 105363859. The next prime is 105363883. The reversal of 105363860 is 68363501.

It is a super-2 number, since 2×105363860² = 22203085988199200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 18335 + ... + 23385.

It is an arithmetic number, because the mean of its divisors is an integer number (5304600).

Almost surely, 2^105363860 is an apocalyptic number.

105363860 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 105363860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127310400).

105363860 is an abundant number, since it is smaller than the sum of its proper divisors (149256940).

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

105363860 is a wasteful number, since it uses less digits than its factorization.

105363860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5216 (or 5214 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 32.

The square root of 105363860 is about 10264.6899612214. The cubic root of 105363860 is about 472.3137158410.

The spelling of 105363860 in words is "one hundred five million, three hundred sixty-three thousand, eight hundred sixty".