105862680 has 512 divisors, whose sum is σ = 470016000. Its totient is φ = 20528640.

The previous prime is 105862667. The next prime is 105862681. The reversal of 105862680 is 86268501.

It is a happy number.

105862680 is a `hidden beast` number, since 10 + 586 + 2 + 68 + 0 = 666.

It is a super-2 number, since 2×105862680² = 22413814033564800, 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 (105862681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1580007 + ... + 1580073.

It is an arithmetic number, because the mean of its divisors is an integer number (918000).

Almost surely, 2^105862680 is an apocalyptic number.

105862680 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 105862680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235008000).

105862680 is an abundant number, since it is smaller than the sum of its proper divisors (364153320).

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

105862680 is a wasteful number, since it uses less digits than its factorization.

105862680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 105862680 is about 10288.9591310297. The cubic root of 105862680 is about 473.0578948096.

The spelling of 105862680 in words is "one hundred five million, eight hundred sixty-two thousand, six hundred eighty".