105363180 has 120 divisors (see below), whose sum is σ = 356024592. Its totient is φ = 25930368.

The previous prime is 105363179. The next prime is 105363187. The reversal of 105363180 is 81363501.

It is a super-2 number, since 2×105363180² = 22202799399424800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (105363187) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 18559 + ... + 23561.

Almost surely, 2^105363180 is an apocalyptic number.

105363180 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 105363180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178012296).

105363180 is an abundant number, since it is smaller than the sum of its proper divisors (250661412).

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

105363180 is a wasteful number, since it uses less digits than its factorization.

105363180 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5037 (or 5026 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 105363180 is about 10264.6568379074. The cubic root of 105363180 is about 472.3126997620.

The spelling of 105363180 in words is "one hundred five million, three hundred sixty-three thousand, one hundred eighty".