105685020 has 192 divisors, whose sum is σ = 381911040. Its totient is φ = 23763456.

The previous prime is 105685009. The next prime is 105685033. The reversal of 105685020 is 20586501.

It is a super-2 number, since 2×105685020² = 22338646904800800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 275749 + ... + 276131.

It is an arithmetic number, because the mean of its divisors is an integer number (1989120).

Almost surely, 2^105685020 is an apocalyptic number.

105685020 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 105685020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190955520).

105685020 is an abundant number, since it is smaller than the sum of its proper divisors (276226020).

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

105685020 is a wasteful number, since it uses less digits than its factorization.

105685020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481 (or 473 counting only the distinct ones).

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

The square root of 105685020 is about 10280.3219793934. The cubic root of 105685020 is about 472.7931161872.

The spelling of 105685020 in words is "one hundred five million, six hundred eighty-five thousand, twenty".