105380856 has 48 divisors (see below), whose sum is σ = 326180400. Its totient is φ = 30108672.

The previous prime is 105380851. The next prime is 105380857. The reversal of 105380856 is 658083501.

It is a super-2 number, since 2×105380856² = 22210249622585472, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 105380856.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (105380851) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 104041 + ... + 105048.

It is an arithmetic number, because the mean of its divisors is an integer number (6795425).

Almost surely, 2^105380856 is an apocalyptic number.

It is an amenable number.

105380856 is an abundant number, since it is smaller than the sum of its proper divisors (220799544).

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

105380856 is a wasteful number, since it uses less digits than its factorization.

105380856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209108 (or 209101 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 105380856 is about 10265.5178145089. The cubic root of 105380856 is about 472.3391104191.

The spelling of 105380856 in words is "one hundred five million, three hundred eighty thousand, eight hundred fifty-six".