105086520 has 384 divisors, whose sum is σ = 452874240. Its totient is φ = 20459520.

The previous prime is 105086491. The next prime is 105086557. The reversal of 105086520 is 25680501.

105086520 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 8 + 652 + 0 = 666.

It is a super-2 number, since 2×105086520² = 22086353371420800, 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 95 ways as a sum of consecutive naturals, for example, 471129 + ... + 471351.

It is an arithmetic number, because the mean of its divisors is an integer number (1179360).

Almost surely, 2^105086520 is an apocalyptic number.

105086520 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 105086520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226437120).

105086520 is an abundant number, since it is smaller than the sum of its proper divisors (347787720).

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

105086520 is a wasteful number, since it uses less digits than its factorization.

105086520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275 (or 268 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The square root of 105086520 is about 10251.1716403541. The cubic root of 105086520 is about 471.8989417848.

The spelling of 105086520 in words is "one hundred five million, eighty-six thousand, five hundred twenty".